Evaluate square root of 5/49

$\sqrt{\frac{5}{49}}$

Step 1

Rewrite $\sqrt{\frac{5}{49}}$ as $\frac{\sqrt{5}}{\sqrt{49}}$ .

$\frac{\sqrt{5}}{\sqrt{49}}$

Step 2

Simplify the denominator.

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

$\frac{\sqrt{5}}{\sqrt{7^{2}}}$

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

$\frac{\sqrt{5}}{7}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{\sqrt{5}}{7}$

Decimal Form:

$0.31943828 \dots$