Basic Math Examples

\sqrt{\frac{4}{100}}

$\sqrt{\frac{4}{100}}$

Step 1

Cancel the common factor of

4

$4$ and

100

$100$ .

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Step 1.1

Factor

4

$4$ out of

4

$4$ .

\sqrt{\frac{4 (1)}{100}}

$\sqrt{\frac{4 (1)}{100}}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor

4

$4$ out of

100

$100$ .

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

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

Step 1.2.2

Cancel the common factor.

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

Step 1.2.3

Rewrite the expression.

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

Step 2

Rewrite

$\sqrt{\frac{1}{25}}$ as

$\frac{\sqrt{1}}{\sqrt{25}}$ .

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

Step 3

Any root of

$1$ is

$1$ .

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

Step 4

Simplify the denominator.

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Step 4.1

Rewrite

$25$ as

$5^{2}$ .

$\frac{1}{\sqrt{5^{2}}}$

Step 4.2

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

$\frac{1}{5}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{5}$

Decimal Form:

$0.2$