# How do you simplify 5 over square root of 7?

Sep 20, 2015

You cannot.

#### Explanation:

Let's see,
$\frac{5}{\sqrt{7}}$
5 is a prime number (you cannot make 5 by multiplying two integers).
7 is also a prime number.
Therefore you cannot simplify this fraction further.
You can rewrite it though.
$\frac{5}{\sqrt{7}} = 5 \cdot {7}^{\frac{- 1}{2}}$

Sep 20, 2015

$\frac{5}{\sqrt{7}} = \frac{5 \sqrt{7}}{7}$

#### Explanation:

You cannot simplify it much, but you can rationalise the denominator by multiplying both numerator and denominator by $\sqrt{7}$:

$\frac{5}{\sqrt{7}} = \frac{5 \sqrt{7}}{\sqrt{7} \sqrt{7}} = \frac{5 \sqrt{7}}{7}$