Question

Introduza os fatores externos no radicando conforme o modelo:
$4 \sqrt[3]{2} = \sqrt[3]{ {4}^{3} } .2 = \sqrt[3]{4.4.4.2} = \sqrt[3]{64.2} = \sqrt[3]{128}$

(a)
$2 \sqrt[4]{2}$
(b)
$3 \sqrt[3]{3}$
(c)
$5 \sqrt{3}$
(d)
$2 \sqrt[5]{4}$
​

Answer 1

Resposta:

$\textsf{Leia abaixo}$

Explicação passo a passo:

$\mathsf{a)\:2\sqrt[4]{2} = \sqrt[4]{2^4.2} = \sqrt[4]{16.2} = \sqrt[4]{32}}$

$\mathsf{b)\:3\sqrt[3]{3} = \sqrt[3]{3^3.3} = \sqrt[3]{27.3} = \sqrt[3]{81}}$

$\mathsf{c)\:5\sqrt{3} = \sqrt{5^2.3} = \sqrt{25.3} = \sqrt{75}}$

$\mathsf{d)\:2\sqrt[5]{4} = \sqrt[5]{2^5.4} = \sqrt[5]{32.4} = \sqrt[5]{128}}$