# How do you simplify sqrt(16/4)?

Feb 16, 2016

2

#### Explanation:

Note that ${4}^{2} = 16 \text{ and } {2}^{2} = 4$

Write $\sqrt{\frac{16}{4}} \text{ "as" } \sqrt{{4}^{2} / {2}^{2}}$

This is the same as:

(sqrt(4^2))/(sqrt(2^2)

$\sqrt{{4}^{2}} = 4 \text{ and } \sqrt{{2}^{2}} = 2$

So we end up with:

$\frac{4}{2} = 2$