Evaluate square root of 81/25

$\sqrt{\frac{81}{25}}$

Step 1

Rewrite $\sqrt{\frac{81}{25}}$ as $\frac{\sqrt{81}}{\sqrt{25}}$ .

$\frac{\sqrt{81}}{\sqrt{25}}$

Step 2

Simplify the numerator.

Rewrite $81$ as $9^{2}$ .

$\frac{\sqrt{9^{2}}}{\sqrt{25}}$

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

$\frac{9}{\sqrt{25}}$

Step 3

Simplify the denominator.

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

$\frac{9}{\sqrt{5^{2}}}$

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

$\frac{9}{5}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{9}{5}$

Decimal Form:

$1.8$

Mixed Number Form:

$1 \frac{4}{5}$