How do you simplify sqrt12/sqrt49?

Oct 17, 2015

$\frac{2 \sqrt{3}}{7}$

Explanation:

Factor out the numbers inside the radicals, then take out any perfect squares.

$\left[1\right] \textcolor{w h i t e}{X X} \frac{\sqrt{12}}{\sqrt{49}}$

$\left[2\right] \textcolor{w h i t e}{X X} = \frac{\sqrt{{2}^{2} \cdot 3}}{\sqrt{{7}^{2}}}$

$\left[3\right] \textcolor{w h i t e}{X X} = \textcolor{red}{\frac{2 \sqrt{3}}{7}}$