Simplify square root of 7/9

$\sqrt{\frac{7}{9}}$

Step 1

Rewrite $\sqrt{\frac{7}{9}}$ as $\frac{\sqrt{7}}{\sqrt{9}}$ .

$\frac{\sqrt{7}}{\sqrt{9}}$

Step 2

Simplify the denominator.

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

$\frac{\sqrt{7}}{\sqrt{3^{2}}}$

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

$\frac{\sqrt{7}}{3}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{\sqrt{7}}{3}$

Decimal Form:

$0.88191710 \dots$