# How do you simplify  sqrt (45x^2)/ sqrt 9?

May 25, 2016

$x \sqrt{5}$
$\frac{\sqrt{45 {x}^{2}}}{\sqrt{9}} = \frac{\sqrt{9} \times \sqrt{5} \times \sqrt{{x}^{2}}}{\sqrt{9}}$
cancel $\sqrt{9}$ and
$\sqrt{{x}^{2}} = x$
answer after cancelling $\sqrt{9}$ is $x \sqrt{5}$