# How do you simplify sqrt20 + sqrt64 - sqrt125?

Feb 29, 2016

$8 + 2 \sqrt{3} - 5 \sqrt{5} = 15.716$

#### Explanation:

$\sqrt{20} + \sqrt{64} - \sqrt{125}$

= $\sqrt{2 \times 2 \times 5} + \sqrt{2 \times 2 \times 2 \times 2 \times 2 \times 2} - \sqrt{5 \times 5 \times 5}$

= $2 \sqrt{3} + \left(2 \times 2 \times 2\right) - 5 \sqrt{5}$

= $8 + 2 \sqrt{3} - 5 \sqrt{5}$

= $8 + 3.464 - 11.18 = 15.716$