Question

determine os valores das raizes: A)³√ 27 B)³√ -8 C)⁵√0,00001 D)³√ -0,064 E)√ 1.024

Answer 1

$a) \ \sqrt[3]{27}= \sqrt[3]{3^3}=3\\ \\ b) \ \sqrt[3]{-8}= \sqrt[3]{(-2)^3}=-2\\ \\ c) \ \sqrt[5]{0,00001}= \sqrt[5]{10^{-5}}= \sqrt[5]{(10^{-1})^5} =10^{-1}=\frac{1}{10}\\ \\ d) \ \sqrt[3]{-0,064}= \sqrt[3]{(0,4^{-1})^3}=0,4^{-1}=\frac{1}{0,4}=\frac{10}{4}=\frac{5}{2} \\ \\ e) \ \sqrt{1024}=\sqrt{2^{10}}=2^5=32$