Simplify square root of 36/25

$\sqrt{\frac{36}{25}}$

Step 1

Rewrite $\sqrt{\frac{36}{25}}$ as $\frac{\sqrt{36}}{\sqrt{25}}$ .

$\frac{\sqrt{36}}{\sqrt{25}}$

Step 2

Simplify the numerator.

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

$\frac{\sqrt{6^{2}}}{\sqrt{25}}$

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

$\frac{6}{\sqrt{25}}$

Step 3

Simplify the denominator.

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

$\frac{6}{\sqrt{5^{2}}}$

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

$\frac{6}{5}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{6}{5}$

Decimal Form:

$1.2$

Mixed Number Form:

$1 \frac{1}{5}$