Basic Math Examples

$\frac{\sqrt{\frac{3}{4}}}{2}$

Step 1

Simplify the numerator.

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Step 1.1

Rewrite $\sqrt{\frac{3}{4}}$ as $\frac{\sqrt{3}}{\sqrt{4}}$ .

$\frac{\frac{\sqrt{3}}{\sqrt{4}}}{2}$

Step 1.2

Simplify the denominator.

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Step 1.2.1

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

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

Step 1.2.2

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

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

Step 2

Multiply the numerator by the reciprocal of the denominator.

$\frac{\sqrt{3}}{2} \cdot \frac{1}{2}$

Step 3

Multiply $\frac{\sqrt{3}}{2} \cdot \frac{1}{2}$ .

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Step 3.1

Multiply $\frac{\sqrt{3}}{2}$ by $\frac{1}{2}$ .

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

Step 3.2

Multiply $2$ by $2$ .

$\frac{\sqrt{3}}{4}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{\sqrt{3}}{4}$

Decimal Form:

$0.43301270 \dots$