Evaluate square root of 121/144

$\sqrt{\frac{121}{144}}$

Step 1

Rewrite $\sqrt{\frac{121}{144}}$ as $\frac{\sqrt{121}}{\sqrt{144}}$ .

$\frac{\sqrt{121}}{\sqrt{144}}$

Step 2

Simplify the numerator.

Rewrite $121$ as $11^{2}$ .

$\frac{\sqrt{11^{2}}}{\sqrt{144}}$

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

$\frac{11}{\sqrt{144}}$

Step 3

Simplify the denominator.

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

$\frac{11}{\sqrt{12^{2}}}$

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

$\frac{11}{12}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{11}{12}$

Decimal Form:

$0.91\overline{6}$