Algebra Examples

\sqrt{\frac{4}{9}}

$\sqrt{\frac{4}{9}}$

Step 1

Rewrite

\sqrt{\frac{4}{9}}

$\sqrt{\frac{4}{9}}$ as

\frac{\sqrt{4}}{\sqrt{9}}

$\frac{\sqrt{4}}{\sqrt{9}}$ .

\frac{\sqrt{4}}{\sqrt{9}}

$\frac{\sqrt{4}}{\sqrt{9}}$

Step 2

Simplify the numerator.

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Step 2.1

Rewrite

4

$4$ as

2^{2}

$2^{2}$ .

\frac{\sqrt{2^{2}}}{\sqrt{9}}

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

Step 2.2

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

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

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

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

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

Step 3

Simplify the denominator.

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Step 3.1

Rewrite

9

$9$ as

3^{2}

$3^{2}$ .

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

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

Step 3.2

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

\frac{2}{3}

$\frac{2}{3}$

\frac{2}{3}

$\frac{2}{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

\frac{2}{3}

$\frac{2}{3}$

Decimal Form:

0. ¯ 6

$0.\overline{6}$