Basic Math Examples

\sqrt{\frac{32}{50}}

$\sqrt{\frac{32}{50}}$

Step 1

Cancel the common factor of

$32$ and

$50$ .

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Step 1.1

Factor

$2$ out of

$32$ .

$\sqrt{\frac{2 (16)}{50}}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor

$2$ out of

$50$ .

$\sqrt{\frac{2 \cdot 16}{2 \cdot 25}}$

Step 1.2.2

Cancel the common factor.

$\sqrt{\frac{2 \cdot 16}{2 \cdot 25}}$

Step 1.2.3

Rewrite the expression.

$\sqrt{\frac{16}{25}}$

Step 2

Rewrite

$\sqrt{\frac{16}{25}}$ as

$\frac{\sqrt{16}}{\sqrt{25}}$ .

$\frac{\sqrt{16}}{\sqrt{25}}$

Step 3

Simplify the numerator.

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Step 3.1

Rewrite

$16$ as

$4^{2}$ .

$\frac{\sqrt{4^{2}}}{\sqrt{25}}$

Step 3.2

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

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

Step 4

Simplify the denominator.

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Step 4.1

Rewrite

$25$ as

$5^{2}$ .

$\frac{4}{\sqrt{5^{2}}}$

Step 4.2

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

$\frac{4}{5}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{4}{5}$

Decimal Form:

$0.8$