Evaluate square root of 7/100

$\sqrt{\frac{7}{100}}$

Step 1

Rewrite $\sqrt{\frac{7}{100}}$ as $\frac{\sqrt{7}}{\sqrt{100}}$ .

$\frac{\sqrt{7}}{\sqrt{100}}$

Step 2

Simplify the denominator.

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

$\frac{\sqrt{7}}{\sqrt{10^{2}}}$

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

$\frac{\sqrt{7}}{10}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{\sqrt{7}}{10}$

Decimal Form:

$0.26457513 \dots$