Question

Solve : $\sqrt{\frac{256a^4{b}^4}{625a^6{b}^2}}=?$

Answer 1

$\begin{array}{c}Wehave\\ \sqrt{\frac{256a^4{b}^4}{625a^6{b}^2}}\\ =\sqrt{\frac{{\left(16\right)}^2{\left(a^2\right)}^2{\left(b^2\right)}^2}{{\left(25\right)}^2{\left(a^3\right)}^2{\left(b\right)}^2}}\\ =\frac{16\times a^2\times b^2}{25\times a^3\times b}\\ =\frac{16b}{25a}.\\ Itistherequiredanswer.\end{array}$