Question

1) Vamos retirar os fatores do radicando:


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Answer 1

Resposta:

Explicação passo a passo:

$a)$

$3\sqrt{6}$

$b)$

$5\sqrt[3]{4}$

$c)$

$\sqrt[3]{2^{5}.\:3^{2} } =\sqrt[3]{2^{3}\:.\:2^{2}\:.\:3^{2} } =\sqrt[3]{2^{3}.(2.3)^{2} } =\sqrt[3]{2^{3}\:.\:6^{2} } =\sqrt[3]{2^{3}\:.\:36 } =2\sqrt[3]{36}$

$d)$

$\sqrt{3^{5}\:.\:5^{3}\:.\:7^{4}}=\sqrt{3^{2}.3^{2}.3.5^{2}.5.7^{2} .7^{2} } =3.3.5.7.7.\sqrt{3.5} =2205\sqrt{15}$

$e)$

$\sqrt{2^{3}\:.\:3^{4}.\:5^{5} } =\sqrt{2^{2}\:.\:2\:.\:3^{2}\:.\:3^{2} \;.\:5^{2}\:.\:5^{2}\:.\;5 }=2.3.3.5.5.\sqrt{2.5} =450\sqrt{10}$