# How do you simplify sqrt(5a) * sqrt(15a)?

$\sqrt{5 a} \cdot \sqrt{15 a}$ can be also changed to this form $\sqrt{5 a \cdot 15 a}$
Now, we have all under one sqrt. We can multiply $5 a$ with $15 a$, which gives us $75 {a}^{2}$
We put this under sqrt and we get $\sqrt{75 {a}^{2}}$
$8.660254 {a}^{2}$ $\implies$ $5 \sqrt{3} \cdot {a}^{2}$