Question

What is Cube root 3 whole square

Answer 1

Dear Student

$$\begin{gathered} {\left(\sqrt[3]{3}\right)}^{\mathbf{2}}\mathbf{=}{\left(3^{\raisebox{1ex}{$1$}\!\left/ \!\raisebox{-1ex}{$3$}\right.}\right)}^{\mathbf{2}}\mathbf{=}{\mathbf{3}}^{\raisebox{1ex}{$\mathbf{2}$}\!\left/ \!\raisebox{-1ex}{$\mathbf{3}$}\right.}\left[Since,{\left(a^m\right)}^n=a^{m\times n}\right] \\ or={\left(3^2\right)}^{\raisebox{1ex}{$1$}\!\left/ \!\raisebox{-1ex}{$3$}\right.}=9^{\raisebox{1ex}{$1$}\!\left/ \!\raisebox{-1ex}{$3$}\right.}=\sqrt[\mathbf{3}]{\mathbf{9}} \end{gathered}$$
Regards