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Jpg14
@Jpg14
July 2022
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найдите значение выражения √ (√8-3) ^ 2 - √ (√2-3) ^ 2
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Verified answer
√(a²) = |a|
√(√8 - 3)² = |√8 - 3| = 3 - √8 (т.к. √9 > √8 и |√8 - 3| > 0)
√(√2 - 3)² = |√2 - 3| = 3 - √2 (т.к. √9 > √2 и |√2 - 3| > 0)
... = 3 - √8 - (3 - √2) = 3 - √8 - 3 + √2 = √2 - √8 = √2 - 2√2 = -√2
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Answers & Comments
Verified answer
√(a²) = |a|√(√8 - 3)² = |√8 - 3| = 3 - √8 (т.к. √9 > √8 и |√8 - 3| > 0)
√(√2 - 3)² = |√2 - 3| = 3 - √2 (т.к. √9 > √2 и |√2 - 3| > 0)
... = 3 - √8 - (3 - √2) = 3 - √8 - 3 + √2 = √2 - √8 = √2 - 2√2 = -√2