# How do you simplify sqrt36/sqrt12?

$\setminus \sqrt{3}$

#### Explanation:

$\setminus \frac{\setminus \sqrt{36}}{\setminus \sqrt{12}}$

$= \setminus \sqrt{\frac{36}{12}}$

$= \setminus \sqrt{3}$

Jul 21, 2018

$\sqrt{3}$

#### Explanation:

The quotient of the square roots is the same as the square root of the quotient. With this in mind, we can rewrite this as

$\sqrt{\frac{36}{12}}$, which simplifies nicely to

$\sqrt{3}$

Hope this helps!

Jul 21, 2018

$\frac{\sqrt{12}}{2}$

#### Explanation:

$\frac{\sqrt{36}}{\sqrt{12}}$

$\therefore = \frac{6}{\sqrt{12}}$

$\therefore = \frac{6}{\sqrt{12}} \times \frac{\sqrt{12}}{\sqrt{12}}$

$\therefore = \sqrt{12} \times \sqrt{12} = 12$

$\therefore = \frac{{\cancel{6}}^{1} \sqrt{12}}{\cancel{12}} ^ 2$

$\therefore = \frac{\sqrt{12}}{2}$