# How do you simplify 8/sqrt(7x)?

$\frac{8 \sqrt{7 x}}{7 x}$

#### Explanation:

When working with fractions, we want the denominator to be rational. A square root (generally) isn't, and so we need to clear it out. We can do that by multiplying by the square root (top and bottom):

$\frac{8}{\sqrt{7 x}}$

$\frac{8}{\sqrt{7 x}} \left(1\right)$

$\frac{8}{\sqrt{7 x}} \left(\frac{\sqrt{7 x}}{\sqrt{7 x}}\right)$

(8sqrt7x)/(sqrt(7x)(sqrt(7x))

$\frac{8 \sqrt{7 x}}{7 x}$