Basic Math Examples

\sqrt{\frac{25}{100}}

$\sqrt{\frac{25}{100}}$

Step 1

Cancel the common factor of

25

$25$ and

100

$100$ .

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Step 1.1

Factor

25

$25$ out of

25

$25$ .

\sqrt{\frac{25 (1)}{100}}

$\sqrt{\frac{25 (1)}{100}}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor

25

$25$ out of

100

$100$ .

\sqrt{\frac{25 \cdot 1}{25 \cdot 4}}

$\sqrt{\frac{25 \cdot 1}{25 \cdot 4}}$

Step 1.2.2

Cancel the common factor.

$\sqrt{\frac{25 \cdot 1}{25 \cdot 4}}$

Step 1.2.3

Rewrite the expression.

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

Step 2

Rewrite

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

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

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

Step 3

Any root of

$1$ is

$1$ .

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

Step 4

Simplify the denominator.

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Step 4.1

Rewrite

$4$ as

$2^{2}$ .

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

Step 4.2

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

$\frac{1}{2}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{2}$

Decimal Form:

$0.5$