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berechnet man mit dem ",[1002,1003,1004],"strong",{},"Satz des Pythagoras",". Die Strecke zwischen den Punkten ist die Hypotenuse eines rechtwinkligen Dreiecks. Seine Katheten sind der Unterschied in x-Richtung, ",[568,1007,1009,1036],{"className":1008},[571],[568,1010,1012],{"className":1011},[575],[577,1013,1014],{"xmlns":579},[581,1015,1016,1033],{},[584,1017,1018,1024,1027],{},[587,1019,1020,1022],{},[590,1021,606],{},[594,1023,828],{},[598,1025,1026],{},"−",[587,1028,1029,1031],{},[590,1030,606],{},[594,1032,596],{},[623,1034,1035],{"encoding":625},"x_2 - x_1",[568,1037,1039,1097],{"className":1038,"ariaHidden":631},[630],[568,1040,1042,1046,1086,1090,1094],{"className":1041},[635],[568,1043],{"className":1044,"style":1045},[639],"height:0.7333em;vertical-align:-0.15em;",[568,1047,1049,1052],{"className":1048},[644],[568,1050,606],{"className":1051},[644,648],[568,1053,1055],{"className":1054},[653],[568,1056,1058,1078],{"className":1057},[657,658],[568,1059,1061,1075],{"className":1060},[662],[568,1062,1064],{"className":1063,"style":667},[666],[568,1065,1066,1069],{"style":724},[568,1067],{"className":1068,"style":675},[674],[568,1070,1072],{"className":1071},[679,680,681,682],[568,1073,828],{"className":1074},[644,682],[568,1076,690],{"className":1077},[689],[568,1079,1081],{"className":1080},[662],[568,1082,1084],{"className":1083,"style":697},[666],[568,1085],{},[568,1087],{"className":1088,"style":1089},[748],"margin-right:0.2222em;",[568,1091,1026],{"className":1092},[1093],"mbin",[568,1095],{"className":1096,"style":1089},[748],[568,1098,1100,1104],{"className":1099},[635],[568,1101],{"className":1102,"style":1103},[639],"height:0.5806em;vertical-align:-0.15em;",[568,1105,1107,1110],{"className":1106},[644],[568,1108,606],{"className":1109},[644,648],[568,1111,1113],{"className":1112},[653],[568,1114,1116,1136],{"className":1115},[657,658],[568,1117,1119,1133],{"className":1118},[662],[568,1120,1122],{"className":1121,"style":667},[666],[568,1123,1124,1127],{"style":724},[568,1125],{"className":1126,"style":675},[674],[568,1128,1130],{"className":1129},[679,680,681,682],[568,1131,596],{"className":1132},[644,682],[568,1134,690],{"className":1135},[689],[568,1137,1139],{"className":1138},[662],[568,1140,1142],{"className":1141,"style":697},[666],[568,1143],{},", und der Unterschied in y-Richtung, ",[568,1146,1148,1174],{"className":1147},[571],[568,1149,1151],{"className":1150},[575],[577,1152,1153],{"xmlns":579},[581,1154,1155,1171],{},[584,1156,1157,1163,1165],{},[587,1158,1159,1161],{},[590,1160,616],{},[594,1162,828],{},[598,1164,1026],{},[587,1166,1167,1169],{},[590,1168,616],{},[594,1170,596],{},[623,1172,1173],{"encoding":625},"y_2 - y_1",[568,1175,1177,1233],{"className":1176,"ariaHidden":631},[630],[568,1178,1180,1184,1224,1227,1230],{"className":1179},[635],[568,1181],{"className":1182,"style":1183},[639],"height:0.7778em;vertical-align:-0.1944em;",[568,1185,1187,1190],{"className":1186},[644],[568,1188,616],{"className":1189,"style":769},[644,648],[568,1191,1193],{"className":1192},[653],[568,1194,1196,1216],{"className":1195},[657,658],[568,1197,1199,1213],{"className":1198},[662],[568,1200,1202],{"className":1201,"style":667},[666],[568,1203,1204,1207],{"style":784},[568,1205],{"className":1206,"style":675},[674],[568,1208,1210],{"className":1209},[679,680,681,682],[568,1211,828],{"className":1212},[644,682],[568,1214,690],{"className":1215},[689],[568,1217,1219],{"className":1218},[662],[568,1220,1222],{"className":1221,"style":697},[666],[568,1223],{},[568,1225],{"className":1226,"style":1089},[748],[568,1228,1026],{"className":1229},[1093],[568,1231],{"className":1232,"style":1089},[748],[568,1234,1236,1240],{"className":1235},[635],[568,1237],{"className":1238,"style":1239},[639],"height:0.625em;vertical-align:-0.1944em;",[568,1241,1243,1246],{"className":1242},[644],[568,1244,616],{"className":1245,"style":769},[644,648],[568,1247,1249],{"className":1248},[653],[568,1250,1252,1272],{"className":1251},[657,658],[568,1253,1255,1269],{"className":1254},[662],[568,1256,1258],{"className":1257,"style":667},[666],[568,1259,1260,1263],{"style":784},[568,1261],{"className":1262,"style":675},[674],[568,1264,1266],{"className":1265},[679,680,681,682],[568,1267,596],{"className":1268},[644,682],[568,1270,690],{"className":1271},[689],[568,1273,1275],{"className":1274},[662],[568,1276,1278],{"className":1277,"style":697},[666],[568,1279],{},".",[564,1282,1283],{},"Weil die Differenzen quadriert werden, spielt ihr Vorzeichen keine Rolle. Man darf die Punkte also in beliebiger Reihenfolge einsetzen.",[559,1285,1287],{"id":1286},"beispiele","Beispiele",[564,1289,1290,1291,809,1358,1428],{},"Abstand von ",[568,1292,1294,1319],{"className":1293},[571],[568,1295,1297],{"className":1296},[575],[577,1298,1299],{"xmlns":579},[581,1300,1301,1316],{},[584,1302,1303,1306,1308,1310,1312,1314],{},[590,1304,1305],{},"A",[598,1307,601],{"stretchy":600},[594,1309,596],{},[598,1311,611],{},[594,1313,828],{},[598,1315,621],{"stretchy":600},[623,1317,1318],{"encoding":625},"A(1 \\mid 2)",[568,1320,1322,1346],{"className":1321,"ariaHidden":631},[630],[568,1323,1325,1328,1331,1334,1337,1340,1343],{"className":1324},[635],[568,1326],{"className":1327,"style":640},[639],[568,1329,1305],{"className":1330},[644,648],[568,1332,601],{"className":1333},[703],[568,1335,596],{"className":1336},[644],[568,1338],{"className":1339,"style":749},[748],[568,1341,611],{"className":1342},[753],[568,1344],{"className":1345,"style":749},[748],[568,1347,1349,1352,1355],{"className":1348},[635],[568,1350],{"className":1351,"style":640},[639],[568,1353,828],{"className":1354},[644],[568,1356,621],{"className":1357},[808],[568,1359,1361,1388],{"className":1360},[571],[568,1362,1364],{"className":1363},[575],[577,1365,1366],{"xmlns":579},[581,1367,1368,1385],{},[584,1369,1370,1373,1375,1378,1380,1383],{},[590,1371,1372],{},"B",[598,1374,601],{"stretchy":600},[594,1376,1377],{},"4",[598,1379,611],{},[594,1381,1382],{},"6",[598,1384,621],{"stretchy":600},[623,1386,1387],{"encoding":625},"B(4 \\mid 6)",[568,1389,1391,1416],{"className":1390,"ariaHidden":631},[630],[568,1392,1394,1397,1401,1404,1407,1410,1413],{"className":1393},[635],[568,1395],{"className":1396,"style":640},[639],[568,1398,1372],{"className":1399,"style":1400},[644,648],"margin-right:0.0502em;",[568,1402,601],{"className":1403},[703],[568,1405,1377],{"className":1406},[644],[568,1408],{"className":1409,"style":749},[748],[568,1411,611],{"className":1412},[753],[568,1414],{"className":1415,"style":749},[748],[568,1417,1419,1422,1425],{"className":1418},[635],[568,1420],{"className":1421,"style":640},[639],[568,1423,1382],{"className":1424},[644],[568,1426,621],{"className":1427},[808],":",[568,1430,1433],{"className":1431},[1432],"katex-display",[568,1434,1436,1518],{"className":1435},[571],[568,1437,1439],{"className":1438},[575],[577,1440,1442],{"xmlns":579,"display":1441},"block",[581,1443,1444,1515],{},[584,1445,1446,1449,1452,1489,1491,1503,1505,1510,1512],{},[590,1447,1448],{},"d",[598,1450,1451],{},"=",[1453,1454,1455],"msqrt",{},[584,1456,1457,1459,1461,1463,1465,1472,1475,1477,1479,1481,1483],{},[598,1458,601],{"stretchy":600},[594,1460,1377],{},[598,1462,1026],{},[594,1464,596],{},[1466,1467,1468,1470],"msup",{},[598,1469,621],{"stretchy":600},[594,1471,828],{},[598,1473,1474],{},"+",[598,1476,601],{"stretchy":600},[594,1478,1382],{},[598,1480,1026],{},[594,1482,828],{},[1466,1484,1485,1487],{},[598,1486,621],{"stretchy":600},[594,1488,828],{},[598,1490,1451],{},[1453,1492,1493],{},[584,1494,1495,1498,1500],{},[594,1496,1497],{},"9",[598,1499,1474],{},[594,1501,1502],{},"16",[598,1504,1451],{},[1453,1506,1507],{},[594,1508,1509],{},"25",[598,1511,1451],{},[594,1513,1514],{},"5",[623,1516,1517],{"encoding":625},"d = \\sqrt{(4 - 1)^2 + (6 - 2)^2} = \\sqrt{9 + 16} = \\sqrt{25} = 5",[568,1519,1521,1540,1723,1808,1874],{"className":1520,"ariaHidden":631},[630],[568,1522,1524,1528,1531,1534,1537],{"className":1523},[635],[568,1525],{"className":1526,"style":1527},[639],"height:0.6944em;",[568,1529,1448],{"className":1530},[644,648],[568,1532],{"className":1533,"style":749},[748],[568,1535,1451],{"className":1536},[753],[568,1538],{"className":1539,"style":749},[748],[568,1541,1543,1547,1714,1717,1720],{"className":1542},[635],[568,1544],{"className":1545,"style":1546},[639],"height:1.24em;vertical-align:-0.2561em;",[568,1548,1551],{"className":1549},[644,1550],"sqrt",[568,1552,1554,1705],{"className":1553},[657,658],[568,1555,1557,1702],{"className":1556},[662],[568,1558,1561,1679],{"className":1559,"style":1560},[666],"height:0.9839em;",[568,1562,1566,1570],{"className":1563,"style":1565},[1564],"svg-align","top:-3.2em;",[568,1567],{"className":1568,"style":1569},[674],"height:3.2em;",[568,1571,1574,1577,1580,1583,1586,1589,1592,1623,1626,1629,1632,1635,1638,1641,1644,1647,1650],{"className":1572,"style":1573},[644],"padding-left:1em;",[568,1575,601],{"className":1576},[703],[568,1578,1377],{"className":1579},[644],[568,1581],{"className":1582,"style":1089},[748],[568,1584,1026],{"className":1585},[1093],[568,1587],{"className":1588,"style":1089},[748],[568,1590,596],{"className":1591},[644],[568,1593,1595,1598],{"className":1594},[808],[568,1596,621],{"className":1597},[808],[568,1599,1601],{"className":1600},[653],[568,1602,1604],{"className":1603},[657],[568,1605,1607],{"className":1606},[662],[568,1608,1611],{"className":1609,"style":1610},[666],"height:0.7401em;",[568,1612,1614,1617],{"style":1613},"top:-2.989em;margin-right:0.05em;",[568,1615],{"className":1616,"style":675},[674],[568,1618,1620],{"className":1619},[679,680,681,682],[568,1621,828],{"className":1622},[644,682],[568,1624],{"className":1625,"style":1089},[748],[568,1627,1474],{"className":1628},[1093],[568,1630],{"className":1631,"style":1089},[748],[568,1633,601],{"className":1634},[703],[568,1636,1382],{"className":1637},[644],[568,1639],{"className":1640,"style":1089},[748],[568,1642,1026],{"className":1643},[1093],[568,1645],{"className":1646,"style":1089},[748],[568,1648,828],{"className":1649},[644],[568,1651,1653,1656],{"className":1652},[808],[568,1654,621],{"className":1655},[808],[568,1657,1659],{"className":1658},[653],[568,1660,1662],{"className":1661},[657],[568,1663,1665],{"className":1664},[662],[568,1666,1668],{"className":1667,"style":1610},[666],[568,1669,1670,1673],{"style":1613},[568,1671],{"className":1672,"style":675},[674],[568,1674,1676],{"className":1675},[679,680,681,682],[568,1677,828],{"className":1678},[644,682],[568,1680,1682,1685],{"style":1681},"top:-2.9439em;",[568,1683],{"className":1684,"style":1569},[674],[568,1686,1690],{"className":1687,"style":1689},[1688],"hide-tail","min-width:1.02em;height:1.28em;",[1691,1692,1698],"svg",{"xmlns":1693,"width":1694,"height":1695,"viewBox":1696,"preserveAspectRatio":1697},"http:\u002F\u002Fwww.w3.org\u002F2000\u002Fsvg","400em","1.28em","0 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1)",[568,1916,1918,1945],{"className":1917,"ariaHidden":631},[630],[568,1919,1921,1924,1927,1930,1933,1936,1939,1942],{"className":1920},[635],[568,1922],{"className":1923,"style":640},[639],[568,1925,592],{"className":1926,"style":649},[644,648],[568,1928,601],{"className":1929},[703],[568,1931,1026],{"className":1932},[644],[568,1934,828],{"className":1935},[644],[568,1937],{"className":1938,"style":749},[748],[568,1940,611],{"className":1941},[753],[568,1943],{"className":1944,"style":749},[748],[568,1946,1948,1951,1954],{"className":1947},[635],[568,1949],{"className":1950,"style":640},[639],[568,1952,596],{"className":1953},[644],[568,1955,621],{"className":1956},[808],[568,1958,1960,1988],{"className":1959},[571],[568,1961,1963],{"className":1962},[575],[577,1964,1965],{"xmlns":579},[581,1966,1967,1985],{},[584,1968,1969,1972,1974,1977,1979,1981,1983],{},[590,1970,1971],{},"Q",[598,1973,601],{"stretchy":600},[594,1975,1976],{},"3",[598,1978,611],{},[598,1980,1026],{},[594,1982,596],{},[598,1984,621],{"stretchy":600},[623,1986,1987],{"encoding":625},"Q(3 \\mid -1)",[568,1989,1991,2015],{"className":1990,"ariaHidden":631},[630],[568,1992,1994,1997,2000,2003,2006,2009,2012],{"className":1993},[635],[568,1995],{"className":1996,"style":640},[639],[568,1998,1971],{"className":1999},[644,648],[568,2001,601],{"className":2002},[703],[568,2004,1976],{"className":2005},[644],[568,2007],{"className":2008,"style":749},[748],[568,2010,611],{"className":2011},[753],[568,2013],{"className":2014,"style":749},[748],[568,2016,2018,2021,2024,2027],{"className":2017},[635],[568,2019],{"className":2020,"style":640},[639],[568,2022,1026],{"className":2023},[644],[568,2025,596],{"className":2026},[644],[568,2028,621],{"className":2029},[808],[568,2031,2033],{"className":2032},[1432],[568,2034,2036,2119],{"className":2035},[571],[568,2037,2039],{"className":2038},[575],[577,2040,2041],{"xmlns":579,"display":1441},[581,2042,2043,2116],{},[584,2044,2045,2047,2049,2091,2093,2103,2105,2110,2113],{},[590,2046,1448],{},[598,2048,1451],{},[1453,2050,2051],{},[584,2052,2053,2055,2057,2059,2061,2063,2065,2067,2073,2075,2077,2079,2081,2083,2085],{},[598,2054,601],{"stretchy":600},[594,2056,1976],{},[598,2058,1026],{},[598,2060,601],{"stretchy":600},[598,2062,1026],{},[594,2064,828],{},[598,2066,621],{"stretchy":600},[1466,2068,2069,2071],{},[598,2070,621],{"stretchy":600},[594,2072,828],{},[598,2074,1474],{},[598,2076,601],{"stretchy":600},[598,2078,1026],{},[594,2080,596],{},[598,2082,1026],{},[594,2084,596],{},[1466,2086,2087,2089],{},[598,2088,621],{"stretchy":600},[594,2090,828],{},[598,2092,1451],{},[1453,2094,2095],{},[584,2096,2097,2099,2101],{},[594,2098,1509],{},[598,2100,1474],{},[594,2102,1377],{},[598,2104,1451],{},[1453,2106,2107],{},[594,2108,2109],{},"29",[598,2111,2112],{},"≈",[594,2114,2115],{},"5,39",[623,2117,2118],{"encoding":625},"d = \\sqrt{(3 - (-2))^2 + (-1 - 1)^2} = \\sqrt{25 + 4} = \\sqrt{29} \\approx 5{,}39",[568,2120,2122,2140,2314,2388,2450],{"className":2121,"ariaHidden":631},[630],[568,2123,2125,2128,2131,2134,2137],{"className":2124},[635],[568,2126],{"className":2127,"style":1527},[639],[568,2129,1448],{"className":2130},[644,648],[568,2132],{"className":2133,"style":749},[748],[568,2135,1451],{"className":2136},[753],[568,2138],{"className":2139,"style":749},[748],[568,2141,2143,2146,2305,2308,2311],{"className":2142},[635],[568,2144],{"className":2145,"style":1546},[639],[568,2147,2149],{"className":2148},[644,1550],[568,2150,2152,2297],{"className":2151},[657,658],[568,2153,2155,2294],{"className":2154},[662],[568,2156,2158,2282],{"className":2157,"style":1560},[666],[568,2159,2161,2164],{"className":2160,"style":1565},[1564],[568,2162],{"className":2163,"style":1569},[674],[568,2165,2167,2170,2173,2176,2179,2182,2185,2188,2191,2194,2223,2226,2229,2232,2235,2238,2241,2244,2247,2250,2253],{"className":2166,"style":1573},[644],[568,2168,601],{"className":2169},[703],[568,2171,1976],{"className":2172},[644],[568,2174],{"className":2175,"style":1089},[748],[568,2177,1026],{"className":2178},[1093],[568,2180],{"className":2181,"style":1089},[748],[568,2183,601],{"className":2184},[703],[568,2186,1026],{"className":2187},[644],[568,2189,828],{"className":2190},[644],[568,2192,621],{"className":2193},[808],[568,2195,2197,2200],{"className":2196},[808],[568,2198,621],{"className":2199},[808],[568,2201,2203],{"className":2202},[653],[568,2204,2206],{"className":2205},[657],[568,2207,2209],{"className":2208},[662],[568,2210,2212],{"className":2211,"style":1610},[666],[568,2213,2214,2217],{"style":1613},[568,2215],{"className":2216,"style":675},[674],[568,2218,2220],{"className":2219},[679,680,681,682],[568,2221,828],{"className":2222},[644,682],[568,2224],{"className":2225,"style":1089},[748],[568,2227,1474],{"className":2228},[1093],[568,2230],{"className":2231,"style":1089},[748],[568,2233,601],{"className":2234},[703],[568,2236,1026],{"className":2237},[644],[568,2239,596],{"className":2240},[644],[568,2242],{"className":2243,"style":1089},[748],[568,2245,1026],{"className":2246},[1093],[568,2248],{"className":2249,"style":1089},[748],[568,2251,596],{"className":2252},[644],[568,2254,2256,2259],{"className":2255},[808],[568,2257,621],{"className":2258},[808],[568,2260,2262],{"className":2261},[653],[568,2263,2265],{"className":2264},[657],[568,2266,2268],{"className":2267},[662],[568,2269,2271],{"className":2270,"style":1610},[666],[568,2272,2273,2276],{"style":1613},[568,2274],{"className":2275,"style":675},[674],[568,2277,2279],{"className":2278},[679,680,681,682],[568,2280,828],{"className":2281},[644,682],[568,2283,2284,2287],{"style":1681},[568,2285],{"className":2286,"style":1569},[674],[568,2288,2290],{"className":2289,"style":1689},[1688],[1691,2291,2292],{"xmlns":1693,"width":1694,"height":1695,"viewBox":1696,"preserveAspectRatio":1697},[1699,2293],{"d":1701},[568,2295,690],{"className":2296},[689],[568,2298,2300],{"className":2299},[662],[568,2301,2303],{"className":2302,"style":1711},[666],[568,2304],{},[568,2306],{"className":2307,"style":749},[748],[568,2309,1451],{"className":2310},[753],[568,2312],{"className":2313,"style":749},[748],[568,2315,2317,2320,2379,2382,2385],{"className":2316},[635],[568,2318],{"className":2319,"style":1729},[639],[568,2321,2323],{"className":2322},[644,1550],[568,2324,2326,2371],{"className":2325},[657,658],[568,2327,2329,2368],{"className":2328},[662],[568,2330,2332,2356],{"className":2331,"style":1742},[666],[568,2333,2335,2338],{"className":2334,"style":1746},[1564],[568,2336],{"className":2337,"style":1750},[674],[568,2339,2341,2344,2347,2350,2353],{"className":2340,"style":1754},[644],[568,2342,1509],{"className":2343},[644],[568,2345],{"className":2346,"style":1089},[748],[568,2348,1474],{"className":2349},[1093],[568,2351],{"className":2352,"style":1089},[748],[568,2354,1377],{"className":2355},[644],[568,2357,2358,2361],{"style":1772},[568,2359],{"className":2360,"style":1750},[674],[568,2362,2364],{"className":2363,"style":1779},[1688],[1691,2365,2366],{"xmlns":1693,"width":1694,"height":1782,"viewBox":1783,"preserveAspectRatio":1697},[1699,2367],{"d":1786},[568,2369,690],{"className":2370},[689],[568,2372,2374],{"className":2373},[662],[568,2375,2377],{"className":2376,"style":1796},[666],[568,2378],{},[568,2380],{"className":2381,"style":749},[748],[568,2383,1451],{"className":2384},[753],[568,2386],{"className":2387,"style":749},[748],[568,2389,2391,2394,2441,2444,2447],{"className":2390},[635],[568,2392],{"className":2393,"style":1814},[639],[568,2395,2397],{"className":2396},[644,1550],[568,2398,2400,2433],{"className":2399},[657,658],[568,2401,2403,2430],{"className":2402},[662],[568,2404,2406,2418],{"className":2405,"style":1827},[666],[568,2407,2409,2412],{"className":2408,"style":1746},[1564],[568,2410],{"className":2411,"style":1750},[674],[568,2413,2415],{"className":2414,"style":1754},[644],[568,2416,2109],{"className":2417},[644],[568,2419,2420,2423],{"style":1842},[568,2421],{"className":2422,"style":1750},[674],[568,2424,2426],{"className":2425,"style":1779},[1688],[1691,2427,2428],{"xmlns":1693,"width":1694,"height":1782,"viewBox":1783,"preserveAspectRatio":1697},[1699,2429],{"d":1786},[568,2431,690],{"className":2432},[689],[568,2434,2436],{"className":2435},[662],[568,2437,2439],{"className":2438,"style":1862},[666],[568,2440],{},[568,2442],{"className":2443,"style":749},[748],[568,2445,2112],{"className":2446},[753],[568,2448],{"className":2449,"style":749},[748],[568,2451,2453,2457,2460,2468],{"className":2452},[635],[568,2454],{"className":2455,"style":2456},[639],"height:0.8389em;vertical-align:-0.1944em;",[568,2458,1514],{"className":2459},[644],[568,2461,2463],{"className":2462},[644],[568,2464,2467],{"className":2465},[2466],"mpunct",",",[568,2469,2471],{"className":2470},[644],"39",[559,2473,2475],{"id":2474},"typische-fehler","Typische Fehler",[2477,2478,2479,2818,2937],"ul",{},[2480,2481,2482,2483,2640,2641,2742,2743,1280],"li",{},"Die Wurzel gliedweise ziehen: ",[568,2484,2486,2516],{"className":2485},[571],[568,2487,2489],{"className":2488},[575],[577,2490,2491],{"xmlns":579},[581,2492,2493,2513],{},[584,2494,2495],{},[1453,2496,2497],{},[584,2498,2499,2505,2507],{},[1466,2500,2501,2503],{},[594,2502,1976],{},[594,2504,828],{},[598,2506,1474],{},[1466,2508,2509,2511],{},[594,2510,1377],{},[594,2512,828],{},[623,2514,2515],{"encoding":625},"\\sqrt{3^2 + 4^2}",[568,2517,2519],{"className":2518,"ariaHidden":631},[630],[568,2520,2522,2526],{"className":2521},[635],[568,2523],{"className":2524,"style":2525},[639],"height:1.04em;vertical-align:-0.1266em;",[568,2527,2529],{"className":2528},[644,1550],[568,2530,2532,2631],{"className":2531},[657,658],[568,2533,2535,2628],{"className":2534},[662],[568,2536,2539,2615],{"className":2537,"style":2538},[666],"height:0.9134em;",[568,2540,2542,2545],{"className":2541,"style":1746},[1564],[568,2543],{"className":2544,"style":1750},[674],[568,2546,2548,2577,2580,2583,2586],{"className":2547,"style":1754},[644],[568,2549,2551,2554],{"className":2550},[644],[568,2552,1976],{"className":2553},[644],[568,2555,2557],{"className":2556},[653],[568,2558,2560],{"className":2559},[657],[568,2561,2563],{"className":2562},[662],[568,2564,2566],{"className":2565,"style":1610},[666],[568,2567,2568,2571],{"style":1613},[568,2569],{"className":2570,"style":675},[674],[568,2572,2574],{"className":2573},[679,680,681,682],[568,2575,828],{"className":2576},[644,682],[568,2578],{"className":2579,"style":1089},[748],[568,2581,1474],{"className":2582},[1093],[568,2584],{"className":2585,"style":1089},[748],[568,2587,2589,2592],{"className":2588},[644],[568,2590,1377],{"className":2591},[644],[568,2593,2595],{"className":2594},[653],[568,2596,2598],{"className":2597},[657],[568,2599,2601],{"className":2600},[662],[568,2602,2604],{"className":2603,"style":1610},[666],[568,2605,2606,2609],{"style":1613},[568,2607],{"className":2608,"style":675},[674],[568,2610,2612],{"className":2611},[679,680,681,682],[568,2613,828],{"className":2614},[644,682],[568,2616,2618,2621],{"style":2617},"top:-2.8734em;",[568,2619],{"className":2620,"style":1750},[674],[568,2622,2624],{"className":2623,"style":1779},[1688],[1691,2625,2626],{"xmlns":1693,"width":1694,"height":1782,"viewBox":1783,"preserveAspectRatio":1697},[1699,2627],{"d":1786},[568,2629,690],{"className":2630},[689],[568,2632,2634],{"className":2633},[662],[568,2635,2638],{"className":2636,"style":2637},[666],"height:0.1266em;",[568,2639],{}," ist ",[568,2642,2644,2664],{"className":2643},[571],[568,2645,2647],{"className":2646},[575],[577,2648,2649],{"xmlns":579},[581,2650,2651,2661],{},[584,2652,2653,2657,2659],{},[1453,2654,2655],{},[594,2656,1509],{},[598,2658,1451],{},[594,2660,1514],{},[623,2662,2663],{"encoding":625},"\\sqrt{25} = 5",[568,2665,2667,2733],{"className":2666,"ariaHidden":631},[630],[568,2668,2670,2674,2724,2727,2730],{"className":2669},[635],[568,2671],{"className":2672,"style":2673},[639],"height:1.04em;vertical-align:-0.1328em;",[568,2675,2677],{"className":2676},[644,1550],[568,2678,2680,2715],{"className":2679},[657,658],[568,2681,2683,2712],{"className":2682},[662],[568,2684,2687,2699],{"className":2685,"style":2686},[666],"height:0.9072em;",[568,2688,2690,2693],{"className":2689,"style":1746},[1564],[568,2691],{"className":2692,"style":1750},[674],[568,2694,2696],{"className":2695,"style":1754},[644],[568,2697,1509],{"className":2698},[644],[568,2700,2702,2705],{"style":2701},"top:-2.8672em;",[568,2703],{"className":2704,"style":1750},[674],[568,2706,2708],{"className":2707,"style":1779},[1688],[1691,2709,2710],{"xmlns":1693,"width":1694,"height":1782,"viewBox":1783,"preserveAspectRatio":1697},[1699,2711],{"d":1786},[568,2713,690],{"className":2714},[689],[568,2716,2718],{"className":2717},[662],[568,2719,2722],{"className":2720,"style":2721},[666],"height:0.1328em;",[568,2723],{},[568,2725],{"className":2726,"style":749},[748],[568,2728,1451],{"className":2729},[753],[568,2731],{"className":2732,"style":749},[748],[568,2734,2736,2739],{"className":2735},[635],[568,2737],{"className":2738,"style":1880},[639],[568,2740,1514],{"className":2741},[644],", nicht ",[568,2744,2746,2769],{"className":2745},[571],[568,2747,2749],{"className":2748},[575],[577,2750,2751],{"xmlns":579},[581,2752,2753,2766],{},[584,2754,2755,2757,2759,2761,2763],{},[594,2756,1976],{},[598,2758,1474],{},[594,2760,1377],{},[598,2762,1451],{},[594,2764,2765],{},"7",[623,2767,2768],{"encoding":625},"3 + 4 = 7",[568,2770,2772,2791,2809],{"className":2771,"ariaHidden":631},[630],[568,2773,2775,2779,2782,2785,2788],{"className":2774},[635],[568,2776],{"className":2777,"style":2778},[639],"height:0.7278em;vertical-align:-0.0833em;",[568,2780,1976],{"className":2781},[644],[568,2783],{"className":2784,"style":1089},[748],[568,2786,1474],{"className":2787},[1093],[568,2789],{"className":2790,"style":1089},[748],[568,2792,2794,2797,2800,2803,2806],{"className":2793},[635],[568,2795],{"className":2796,"style":1880},[639],[568,2798,1377],{"className":2799},[644],[568,2801],{"className":2802,"style":749},[748],[568,2804,1451],{"className":2805},[753],[568,2807],{"className":2808,"style":749},[748],[568,2810,2812,2815],{"className":2811},[635],[568,2813],{"className":2814,"style":1880},[639],[568,2816,2765],{"className":2817},[644],[2480,2819,2820,2821,2742,2909,1280],{},"Vorzeichenfehler bei negativen Koordinaten: ",[568,2822,2824,2852],{"className":2823},[571],[568,2825,2827],{"className":2826},[575],[577,2828,2829],{"xmlns":579},[581,2830,2831,2849],{},[584,2832,2833,2835,2837,2839,2841,2843,2845,2847],{},[594,2834,1976],{},[598,2836,1026],{},[598,2838,601],{"stretchy":600},[598,2840,1026],{},[594,2842,828],{},[598,2844,621],{"stretchy":600},[598,2846,1451],{},[594,2848,1514],{},[623,2850,2851],{"encoding":625},"3 - (-2) = 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