How do you simplify sqrt(0.01x^4y^2)?

Nov 1, 2015

$0.1 {x}^{2} {y}^{2}$
$\sqrt{0.01 {x}^{4} {y}^{4}}$
$= {\left(\frac{1}{{10}^{2}} {\left({x}^{2} {y}^{2}\right)}^{2}\right)}^{\frac{1}{2}}$
$= \frac{1}{10} {x}^{2} {y}^{2}$
$= 0.1 {x}^{2} {y}^{2}$