Question

Calcule: A) ⁶√9⁶=

B) ⁵√(1/2)⁵=

C) ³√(-5)³=

D) ²√16²=

E) ³√25⁶ =

F) ³√5.8=

Answer 1

Simplificação de radicais!

$a)~ \sqrt[6]{ {9}^{6} }\Rightarrow\sqrt[ \diagup\!\!\!6]{ {9}^{\diagup\!\!\!6} } = 9 \\ \\ b)~ \sqrt[5]{ {\left(\frac{1}{2} \right) }^{5}} \Rightarrow\sqrt[ \diagup\!\!\!5]{ { \left(\frac{1}{2} \right)}^{\diagup\!\!\!5} } =\frac{1}{2} \\ \\c)~ \sqrt[3]{ {( - 5)}^{3} } \Rightarrow\sqrt[ \diagup\!\!\!5]{ {( - 5)}^{\diagup\!\!\!3} } = - 5 \\ \\d)~ \sqrt[2]{ {16}^{2} }\Rightarrow \sqrt[ \diagup\!\!\!2]{ {16}^{\diagup\!\!\!2} } = 16 \\ \\e)~ \sqrt[3]{ {25}^{6} }\Rightarrow\sqrt[ \diagup\!\!\!3]{ {25}^{\diagup\!\!\!6} }\Rightarrow {25}^{2} = 625\\\\f)~\sqrt[3]{5 \cdot8}\Rightarrow\sqrt[3]{40}\Rightarrow \sqrt[3]{ {2}^{3} \cdot5 }\Rightarrow\sqrt[\diagup\!\!\!3]{ {2}^{\diagup\!\!\!3} } \cdot \sqrt[3]{5} = 2 \sqrt[3]{5}$