Algebra Examples

\sqrt{\frac{11}{4}}

$\sqrt{\frac{11}{4}}$

Step 1

Rewrite

\sqrt{\frac{11}{4}}

$\sqrt{\frac{11}{4}}$ as

\frac{\sqrt{11}}{\sqrt{4}}

$\frac{\sqrt{11}}{\sqrt{4}}$ .

\frac{\sqrt{11}}{\sqrt{4}}

$\frac{\sqrt{11}}{\sqrt{4}}$

Step 2

Simplify the denominator.

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Step 2.1

Rewrite

4

$4$ as

2^{2}

$2^{2}$ .

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

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

Step 2.2

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

\frac{\sqrt{11}}{2}

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

\frac{\sqrt{11}}{2}

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

Step 3

The result can be shown in multiple forms.

Exact Form:

\frac{\sqrt{11}}{2}

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

Decimal Form:

1.65831239 \dots

$1.65831239 \dots$