Algebra Examples

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

Step 1

Rewrite

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

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

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

Step 2

Simplify the numerator.

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Step 2.1

Rewrite

$36$ as

$6^{2}$ .

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

Step 2.2

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

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

Step 3

Simplify the denominator.

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Step 3.1

Rewrite

$169$ as

$13^{2}$ .

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

Step 3.2

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

$\frac{6}{13}$