# Question #0e8ab

Nov 23, 2016

Assuming you're asking what the value of $\sqrt{56.25}$ is:

The answer is: $\frac{15}{2} \mathmr{and} 7.5$

#### Explanation:

First:

Convert $56.25$ to a fraction.

$56 + \frac{1}{4} = \frac{224}{4} + \frac{1}{4} = \frac{225}{4}$

Then take the square root of this value and simplify:

$\sqrt{\frac{225}{4}} = \frac{\sqrt{225}}{\sqrt{4}} = \frac{\sqrt{9} \cdot \sqrt{25}}{2} = \frac{3 \cdot 5}{2} = \frac{15}{2} = 7.5$