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AlmatyBattlefield
@AlmatyBattlefield
August 2022
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Помогите упростить данное выражение
[tex] \sqrt{\sqrt6+2\sqrt3+\sqrt2+(9:2)} [/tex]
Заранее спасибо!
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Denik777
Verified answer
√6+2√3+√2+9/2=(1+2√3+(√3)²)+(1+√3)√2+1/2=
(1+√3)²+2(1+√3)*(1/√2)+(1/√2)²=(1+√3+1/√2)².
Итак, ответ: 1+√3+1/√2.
2 votes
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Answers & Comments
Verified answer
√6+2√3+√2+9/2=(1+2√3+(√3)²)+(1+√3)√2+1/2=(1+√3)²+2(1+√3)*(1/√2)+(1/√2)²=(1+√3+1/√2)².
Итак, ответ: 1+√3+1/√2.