# How do you simplify sqrt((75a)/49)?

Jun 30, 2016

$\frac{5}{7} \cdot \sqrt{3 a}$
$\sqrt{\frac{75 \cdot a}{49}}$ can be written as $\sqrt{\frac{3 \cdot {5}^{2} \cdot a}{{7}^{2}}}$ =>
=${\sqrt{5}}^{2}$*$\frac{\sqrt{3 a}}{\sqrt{{7}^{2}}}$
= $\frac{5}{7} \cdot \sqrt{3 a}$