# How do you evaluate \sqrt { 2^ { 2} + 5}?

Jan 27, 2017

$\sqrt{{2}^{2} + 5} = 3$

#### Explanation:

Remember ${2}^{2} = 2 \times 2 = 4$

Then

$\sqrt{{2}^{2} + 5} = \sqrt{4 + 5}$

Since $4 + 5 = 9$ and $3 \times 3 = {3}^{2} = 9$

Then

$\sqrt{{2}^{2} + 5} = \sqrt{4 + 5} = \sqrt{9} = 3$