[tex] \sqrt[16]{(3 - \sqrt{10}) {}^{16} } [/tex]Очень нужно!. Created by mary7321. matematika-ru

tex]Очень нужно!...

mary7321 @mary7321

August 2022 1 10 Report

[tex] \sqrt[16]{(3 - \sqrt{10}) {}^{16} } [/tex]
Очень нужно!

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papagenius

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Пошаговое объяснение:

$\displaystyle \sqrt[{16}]{{{{\left({3-\sqrt{10}}\right)}^{16}}}}={\left({\sqrt[{16}]{{\left|{3-\sqrt{10}}\right|}}}\right)^{16}}={\left|{3-\sqrt{10}}\right|^{\frac{{16}}{{16}}}}=\left|{3-\sqrt{10}}\right|=-\left({3-\sqrt{10}}\right)=-3+\sqrt{10}=\boxed{\sqrt{10}-3}$

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