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AliceFromFuture
@AliceFromFuture
July 2022
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Вычислите:
(√5-3)·√(14+6√5)
Как это решать?
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KuOV
Verified answer
√(14 + 6√5) = √(9 + 5 + 6√5) = √(3² + 2·3·√5 + (√5)²) = √(√5 + 3)² = √5 + 3
(√5 - 3)·√(14 + 6√5) =(√5 - 3)·(√5 + 3) = 5 - 9 = - 4
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Answers & Comments
Verified answer
√(14 + 6√5) = √(9 + 5 + 6√5) = √(3² + 2·3·√5 + (√5)²) = √(√5 + 3)² = √5 + 3(√5 - 3)·√(14 + 6√5) =(√5 - 3)·(√5 + 3) = 5 - 9 = - 4