Algebra Examples

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

Step 1

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

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

Step 2

Simplify the numerator.

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Rewrite $4$ as $2^{2}$ .

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

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

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

Step 3

Simplify the denominator.

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

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

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

$- \frac{2}{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$- \frac{2}{3}$

Decimal Form:

$- 0.\overline{6}$