Evaluate square root of 2/25

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

Step 1

Rewrite $\sqrt{\frac{2}{25}}$ as $\frac{\sqrt{2}}{\sqrt{25}}$ .

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

Step 2

Simplify the denominator.

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

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

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

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

Step 3

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$0.28284271 \dots$