# How do you simplify sqrt(72/9)?

Oct 3, 2015

$\sqrt{\frac{72}{9}} = 2 \sqrt{2}$

#### Explanation:

We know $72 = 9 \cdot 8$ so we can rewrite that as

$\sqrt{\frac{72}{9}} = \sqrt{\frac{9 \cdot 8}{9}} = \sqrt{8}$

We know that $8 = 4 \cdot 2$ and that $\sqrt{4} = 2$ thus, we can rewrite and solve this as

$\sqrt{\frac{72}{9}} = 2 \sqrt{2}$