Question

cacule e simplifique:
$\sqrt[3]{} \sqrt{360}$

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Answer 1

Resposta:

$\bold{\sqrt[6]{360}}$

Explicação passo-a-passo:

$\Large{\sqrt[3]{\sqrt{360}}=\left(360^{\frac{1}{2}}\right)^{\frac{1}{3}}}$

$\Large{pois: \sqrt[n]{a}=a^{\frac{1}{n}}}$

$\Large{360^{\frac{1}{2}\cdot \frac{1}{3}}=360^{\frac{1}{2}\cdot \frac{1}{3}}=\sqrt[6]{360}=2.66716\dots}$