обчислити: [tex] \frac{1}{3- \sqrt{7} } + \frac{23}{7+ \sqrt{3} } - \frac{2}{ \sqrt{7} + \sqrt{3} } [/tex]. Created by Lizuna2000. algebra-ru

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Lizuna2000 @Lizuna2000

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обчислити: [tex] \frac{1}{3- \sqrt{7} } + \frac{23}{7+ \sqrt{3} } - \frac{2}{ \sqrt{7} + \sqrt{3} } [/tex]

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GreatFilter $\fracno numeric noise key 1080no numeric noise key 1079 } + 1078no numeric noise key 1077 - 1076{ \sqrtno numeric noise key 1075 1074 \\ =\fracNO NUMERIC NOISE KEY 1073 }{(3- 1072)(3+\sqrtno numeric noise key 1071 ) 1070)}{(7+ 1069)(7- 1068) 1067 1066)}{ (\sqrtno numeric noise key 1065 1064)(\sqrtno numeric noise key 1063 1062) 1061 }{ 9-7 1060)}no numeric noise key 1059 1058 1057)}{ 7-3 1056 }no numeric noise key 1055 1054)}no numeric noise key 1053 1052 1051)}no numeric noise key 1050 =\\$ $= \frac{3+ \sqrt{7} }{2 } + \frac{7-\sqrt{3}}{2} - \frac{\sqrt{7} - \sqrt{3}}{2 } = \frac{3+ \sqrt{7} +7-\sqrt{3}- \sqrt{7} + \sqrt{3} }{2 } = \frac{10}{2} =5$

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