# How do you simplify sqrt(3/4)*sqrt(4/5)?

Apr 7, 2015

Since $\sqrt{a} \cdot \sqrt{b} = \sqrt{a \cdot b}$

$\sqrt{\frac{3}{4}} \cdot \sqrt{\frac{4}{5}}$

$= \sqrt{\frac{3}{\cancel{4}} \cdot \frac{\cancel{4}}{5}}$

$= \sqrt{\frac{3}{5}}$