Simplify square root of 9/100

$\sqrt{\frac{9}{100}}$

Step 1

Rewrite $\sqrt{\frac{9}{100}}$ as $\frac{\sqrt{9}}{\sqrt{100}}$ .

$\frac{\sqrt{9}}{\sqrt{100}}$

Step 2

Simplify the numerator.

Rewrite $9$ as $3^{2}$ .

$\frac{\sqrt{3^{2}}}{\sqrt{100}}$

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

$\frac{3}{\sqrt{100}}$

Step 3

Simplify the denominator.

Rewrite $100$ as $10^{2}$ .

$\frac{3}{\sqrt{10^{2}}}$

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

$\frac{3}{10}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{3}{10}$

Decimal Form:

$0.3$