# How do you simplify 4/(sqrt(4x) + sqrt(4x))?

##### 1 Answer
Apr 22, 2018

$\frac{1}{\sqrt{x}}$

#### Explanation:

$\sqrt{4 x} + \sqrt{4 x} = 2 \sqrt{4} x$

Furthermore, recalling that $\sqrt{a b} = \sqrt{a} \cdot \sqrt{b} ,$

$2 \sqrt{4 x} = 2 \left(\sqrt{4} \cdot \sqrt{x}\right)$

$\sqrt{4} = 2$, so we get

$2 \left(2 \sqrt{x}\right) = 4 \sqrt{x}$

And we end up with

$\frac{\cancel{4}}{\cancel{4} \sqrt{x}} = \frac{1}{\sqrt{x}}$