# How do you simplify square root of 7 plus by the square root of 7 divided by 2?

Sep 22, 2015

$\sqrt{7} + \frac{\sqrt{7}}{2} = \frac{3 \sqrt{7}}{2}$

#### Explanation:

If the intended question was to simplify

$\sqrt{7} + \frac{\sqrt{7}}{2}$, get a common denominator and simplify (add)

$\frac{\sqrt{7}}{1} + \frac{\sqrt{7}}{2} = \frac{2 \sqrt{7}}{2} + \frac{\sqrt{7}}{2}$

$= \frac{2 \sqrt{7} + \sqrt{7}}{2}$

$= \frac{3 \sqrt{7}}{2}$