# How do you simplify sqrt(98/x^2)?

Jul 18, 2018

$\frac{7 \sqrt{2}}{x}$

#### Explanation:

The square root of a quotient is the same as the quotient of the square roots, so we can rewrite this as

$\frac{\sqrt{98}}{\sqrt{{x}^{2}}}$

Since $98 = 49 \cdot 2$, $\sqrt{98} = \sqrt{49} \sqrt{2}$. The square root of something squared is that something, so our entire expression simplifies to

$\frac{\sqrt{49} \sqrt{2}}{x}$

$\implies \frac{7 \sqrt{2}}{x}$

Hope this helps!