Algebra Examples

$\frac{\sqrt{4}}{\sqrt{121}}$

Step 1

Simplify the numerator.

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Step 1.1

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

$\frac{\sqrt{2^{2}}}{\sqrt{121}}$

Step 1.2

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

$\frac{2}{\sqrt{121}}$

Step 2

Simplify the denominator.

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Step 2.1

Rewrite $121$ as $11^{2}$ .

$\frac{2}{\sqrt{11^{2}}}$

Step 2.2

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

$\frac{2}{11}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{2}{11}$

Decimal Form:

$0.\overline{18}$