# How do you simplify 3sqrt ((8x^8)/(y^3))?

Jun 5, 2016

$\frac{6 {x}^{2} \sqrt{2 y}}{y}$

#### Explanation:

Write as:$\text{ } 3 \times \frac{\sqrt{{2}^{2} \times 2 \times {\left({x}^{2}\right)}^{4}}}{\sqrt{{y}^{2} \times y}}$

$= \frac{3 \times 2 \times {x}^{4}}{y} \times \frac{\sqrt{2}}{\sqrt{y}}$

$= \frac{6 {x}^{4} \sqrt{2}}{\sqrt{y}}$

Multiply by 1 but in the form of $1 = \frac{\sqrt{y}}{\sqrt{y}}$

$= \frac{6 {x}^{2} \sqrt{2} \sqrt{y}}{y}$

$\frac{6 {x}^{2} \sqrt{2 y}}{y}$