Basic Math Examples

$\sqrt{\frac{\frac{1}{8}}{\frac{\sqrt{4}}{1}}}$

Step 1

Divide $\sqrt{4}$ by $1$ .

$\sqrt{\frac{\frac{1}{8}}{\sqrt{4}}}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$\sqrt{\frac{1}{8} \cdot \frac{1}{\sqrt{4}}}$

Step 3

Simplify the denominator.

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Step 3.1

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

$\sqrt{\frac{1}{8} \cdot \frac{1}{\sqrt{2^{2}}}}$

Step 3.2

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

$\sqrt{\frac{1}{8} \cdot \frac{1}{2}}$

Step 4

Multiply $\frac{1}{8} \cdot \frac{1}{2}$ .

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Step 4.1

Multiply $\frac{1}{8}$ by $\frac{1}{2}$ .

$\sqrt{\frac{1}{8 \cdot 2}}$

Step 4.2

Multiply $8$ by $2$ .

$\sqrt{\frac{1}{16}}$

Step 5

Rewrite $\sqrt{\frac{1}{16}}$ as $\frac{\sqrt{1}}{\sqrt{16}}$ .

$\frac{\sqrt{1}}{\sqrt{16}}$

Step 6

Any root of $1$ is $1$ .

$\frac{1}{\sqrt{16}}$

Step 7

Simplify the denominator.

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Step 7.1

Rewrite $16$ as $4^{2}$ .

$\frac{1}{\sqrt{4^{2}}}$

Step 7.2

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

$\frac{1}{4}$

Step 8

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{4}$

Decimal Form:

$0.25$