Question

Rewrite the expression in simplest radical form. 108√

Answer 1

$\bf \sqrt{108}\qquad \begin{cases} 108=2\cdot 2\cdot 3\cdot 3\cdot 3\\ \qquad 2^2\cdot 3^2\cdot 3\\ \qquad (2\cdot 3)^2\cdot 3\\ \qquad 6^2\cdot 3\\ \end{cases}\implies \sqrt{6^2\cdot 3}\implies 6\sqrt{3}$