How do you simplify the square root of 50/98?

Sep 22, 2015

$\sqrt{\frac{50}{98}} = \frac{5}{7}$

Explanation:

$\sqrt{\frac{50}{98}}$

$= \frac{\sqrt{50}}{\sqrt{98}}$

$= \frac{\sqrt{{5}^{2} \cdot 2}}{\sqrt{{7}^{2} \cdot 2}}$

$= \frac{5 \sqrt{2}}{7 \sqrt{2}}$

$= \frac{5}{7}$