Question

Simplify: V36m 14 where m > 0, n > 0

Answer 1

Given:

`\sqrt[4]{36m^8n^4}`

Simplify the inequality.

Sol:.

`\begin{gathered} =\sqrt[4]{36m^8n^4} \\ =(36m^8n^4)^{(1)/(4)} \\ =(36)^{(1)/(4)}(m)^{(8)/(4)}n^{(4)/(4)} \\ =(6)^{(2)/(4)}m^2n \\ =6^{(1)/(2)}m^2n \\ =m^2n\sqrt[]{6} \end{gathered}`