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Mirkey
@Mirkey
December 2021
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Помогите решить:
(5√2+7)^⅓+(5√2-7)^⅓
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Denik777
Verified answer
(√2+1)³=2√2+3·2+3√2+1=5√2+7
(√2-1)³=2√2-3·2+3√2-1=5√2-7
Поэтому ∛(5√2+7)+∛(5√2-7)=(√2+1)+(√2-1)=2√2.
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Answers & Comments
Verified answer
(√2+1)³=2√2+3·2+3√2+1=5√2+7(√2-1)³=2√2-3·2+3√2-1=5√2-7
Поэтому ∛(5√2+7)+∛(5√2-7)=(√2+1)+(√2-1)=2√2.