Simplify square root of 2/49

$\sqrt{\frac{2}{49}}$

Rewrite $\sqrt{\frac{2}{49}}$ as $\frac{\sqrt{2}}{\sqrt{49}}$ .

$\frac{\sqrt{2}}{\sqrt{49}}$

Simplify the denominator.

Rewrite $49$ as $7^{2}$ .

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

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

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

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$0.20203050 \dots$