Question

$l = \sqrt[3]{5324}$
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Answer 1

Resposta:

Explicação passo-a-passo:

$\displaystyle l=\sqrt[3]{5324}$

Fatorar:

1, 5324 | 2

1, 2662 | 2

1, 1331 | 11

1, 121 | 11

1, 11 | 11

1, 1 | 1

5324 = 2 . 2 . 11 . 11 . 11 = 2².11³

$\displaystyle l=\sqrt[3]{5324}=\sqrt[3]{2^2.11^3} =2^{\frac{2}{3}}.11^{\frac{3}{3}}=2^{\frac{2}{3}}.11^1=11\sqrt[3]{2^2} =11\sqrt[3]{4}$