Simplify square root of 25/144

$\sqrt{\frac{25}{144}}$

Step 1

Rewrite $\sqrt{\frac{25}{144}}$ as $\frac{\sqrt{25}}{\sqrt{144}}$ .

$\frac{\sqrt{25}}{\sqrt{144}}$

Step 2

Simplify the numerator.

Rewrite $25$ as $5^{2}$ .

$\frac{\sqrt{5^{2}}}{\sqrt{144}}$

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

$\frac{5}{\sqrt{144}}$

Step 3

Simplify the denominator.

Rewrite $144$ as $12^{2}$ .

$\frac{5}{\sqrt{12^{2}}}$

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

$\frac{5}{12}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{5}{12}$

Decimal Form:

$0.41\overline{6}$