Algebra Examples

$\sqrt{\frac{49}{81}}$

Step 1

Rewrite $\sqrt{\frac{49}{81}}$ as $\frac{\sqrt{49}}{\sqrt{81}}$ .

$\frac{\sqrt{49}}{\sqrt{81}}$

Step 2

Simplify the numerator.

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Step 2.1

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

$\frac{\sqrt{7^{2}}}{\sqrt{81}}$

Step 2.2

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

$\frac{7}{\sqrt{81}}$

Step 3

Simplify the denominator.

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Step 3.1

Rewrite $81$ as $9^{2}$ .

$\frac{7}{\sqrt{9^{2}}}$

Step 3.2

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

$\frac{7}{9}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{7}{9}$

Decimal Form:

$0.\overline{7}$