Question

What are the steps to solve title=" \sqrt{20 {k}^{3} } " alt=" \sqrt{20 {k}^{3} } " align="absmiddle" class="latex-formula">

Answer 1

$\bf \sqrt{20k^3}\qquad \begin{cases} 20=2\cdot 2\cdot 5\\ \qquad 2^2\cdot 5\\ k^3=k^{2+1}\\ \qquad k^2\cdot k^1 \end{cases}\implies \sqrt{2^2\cdot 5\cdot k^2\cdot k}\implies 2k\sqrt{5k}$