Basic Math Examples

\sqrt{\frac{2}{32}}

$\sqrt{\frac{2}{32}}$

Step 1

Cancel the common factor of

2

$2$ and

32

$32$ .

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Step 1.1

Factor

2

$2$ out of

2

$2$ .

\sqrt{\frac{2 (1)}{32}}

$\sqrt{\frac{2 (1)}{32}}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor

2

$2$ out of

32

$32$ .

\sqrt{\frac{2 \cdot 1}{2 \cdot 16}}

$\sqrt{\frac{2 \cdot 1}{2 \cdot 16}}$

Step 1.2.2

Cancel the common factor.

$\sqrt{\frac{2 \cdot 1}{2 \cdot 16}}$

Step 1.2.3

Rewrite the expression.

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

Step 2

Rewrite

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

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

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

Step 3

Any root of

$1$ is

$1$ .

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

Step 4

Simplify the denominator.

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Step 4.1

Rewrite

$16$ as

$4^{2}$ .

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

Step 4.2

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

$\frac{1}{4}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{4}$

Decimal Form:

$0.25$