# How do you simplify (4 - sqrt x) / x^(3/2)?

Apr 22, 2018

$\frac{4 \sqrt{x} - | x |}{x} ^ 2$

#### Explanation:

$\frac{4 - \sqrt{x}}{x} ^ \left(\frac{3}{2}\right) =$

$\frac{4 - \sqrt{x}}{\sqrt{{x}^{3}}} =$

Multiply by $\frac{\sqrt{x}}{\sqrt{x}}$

$\frac{4 - \sqrt{x}}{\sqrt{{x}^{3}}} \cdot \frac{\sqrt{x}}{\sqrt{x}} =$

$\frac{4 \sqrt{x} - \sqrt{{x}^{2}}}{\sqrt{{x}^{4}}} =$

$\frac{4 \sqrt{x} - | x |}{x} ^ 2$