Algebra Examples

- \sqrt{\frac{36}{25}}

$- \sqrt{\frac{36}{25}}$

Step 1

Rewrite

\sqrt{\frac{36}{25}}

$\sqrt{\frac{36}{25}}$ as

\frac{\sqrt{36}}{\sqrt{25}}

$\frac{\sqrt{36}}{\sqrt{25}}$ .

- \frac{\sqrt{36}}{\sqrt{25}}

$- \frac{\sqrt{36}}{\sqrt{25}}$

Step 2

Simplify the numerator.

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Step 2.1

Rewrite

36

$36$ as

6^{2}

$6^{2}$ .

- \frac{\sqrt{6^{2}}}{\sqrt{25}}

$- \frac{\sqrt{6^{2}}}{\sqrt{25}}$

Step 2.2

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

- \frac{6}{\sqrt{25}}

$- \frac{6}{\sqrt{25}}$

- \frac{6}{\sqrt{25}}

$- \frac{6}{\sqrt{25}}$

Step 3

Simplify the denominator.

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Step 3.1

Rewrite

25

$25$ as

5^{2}

$5^{2}$ .

- \frac{6}{\sqrt{5^{2}}}

$- \frac{6}{\sqrt{5^{2}}}$

Step 3.2

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

- \frac{6}{5}

$- \frac{6}{5}$

- \frac{6}{5}

$- \frac{6}{5}$

Step 4

The result can be shown in multiple forms.

Exact Form:

- \frac{6}{5}

$- \frac{6}{5}$

Decimal Form:

- 1.2

$- 1.2$

Mixed Number Form:

- 1 \frac{1}{5}

$- 1 \frac{1}{5}$

- \sqrt[]{\frac{36}{25}}

$- \sqrt[]{\frac{36}{25}}$

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