Write the Fraction in Simplest Form square root of 36/169

$\sqrt{\frac{36}{169}}$

Step 1

Rewrite $\sqrt{\frac{36}{169}}$ as $\frac{\sqrt{36}}{\sqrt{169}}$ .

$\frac{\sqrt{36}}{\sqrt{169}}$

Step 2

Simplify the numerator.

Rewrite $36$ as $6^{2}$ .

$\frac{\sqrt{6^{2}}}{\sqrt{169}}$

Pull terms out from under the radical, assuming positive real numbers.

$\frac{6}{\sqrt{169}}$

Step 3

Simplify the denominator.

Rewrite $169$ as $13^{2}$ .

$\frac{6}{\sqrt{13^{2}}}$

Pull terms out from under the radical, assuming positive real numbers.

$\frac{6}{13}$