# How do you simplify sqrt(7/9)*sqrt(4/7)?

Apr 8, 2017

$= \pm \frac{2}{3}$

#### Explanation:

$\sqrt{\frac{7}{9}} \cdot \sqrt{\frac{4}{7}}$

$= \sqrt{\frac{\cancel{7}}{9} \cdot \frac{4}{\cancel{7}}}$

$= \pm \frac{2}{3}$

NB : These are the square roots. The principal (or positive) square root is $\frac{2}{3}$.