How do you simplify (5+sqrt175)/5?

Apr 15, 2017

See the entire solution process below:

Explanation:

First, we can rewrite this expression as:

$\frac{5}{5} + \frac{\sqrt{175}}{5} = 1 + \frac{\sqrt{175}}{5}$

We can rewrite the radical as:

$1 + \frac{\sqrt{25 \cdot 7}}{5} = 1 + \frac{\sqrt{25} \sqrt{7}}{5} = 1 + \frac{5 \sqrt{7}}{5} = 1 + \sqrt{7}$