Simplify the Radical Expression square root of 2/9

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

Step 1

Rewrite $\sqrt{\frac{2}{9}}$ as $\frac{\sqrt{2}}{\sqrt{9}}$ .

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

Step 2

Simplify the denominator.

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

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

Pull terms out from under the radical.

$\frac{\sqrt{2}}{| 3 |}$

The absolute value is the distance between a number and zero. The distance between $0$ and $3$ is $3$ .

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

Step 3

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$0.47140452 \dots$