Question

Decomponha em fatores primo e retire o fator radical.

A) $\sqrt[3]{250} B) \sqrt[3]{375} C) \sqrt[6]{640}$

Answer 1

250/2
125/5
25/5
5/5
1 

250 = 2 . 5³

∛250 = ∛5³.2 = 5∛2 

================================

375/3
125/5
25/5
5/5
1 

375 = 3 . 5³ 

∛375 = ∛5³.3 = 5∛3

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640/2
320/2
160/2
80/2
40/2
20/2
10/2
5/5
1 


$640=2^{6}.2.5=2^{6}.10\\\\ \sqrt[6]{640} = \sqrt[6]{2^{6}.10} =2 \sqrt[6]{10} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ ok$