Basic Math Examples

$\frac{1}{4} \cdot \sqrt{250}$

Step 1

Rewrite $250$ as $5^{2} \cdot 10$ .

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Step 1.1

Factor $25$ out of $250$ .

$\frac{1}{4} \cdot \sqrt{25 (10)}$

Step 1.2

Rewrite $25$ as $5^{2}$ .

$\frac{1}{4} \cdot \sqrt{5^{2} \cdot 10}$

$\frac{1}{4} \cdot \sqrt{5^{2} \cdot 10}$

Step 2

Pull terms out from under the radical.

$\frac{1}{4} \cdot (5 \sqrt{10})$

Step 3

Multiply $\frac{1}{4} (5 \sqrt{10})$ .

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Step 3.1

Combine $5$ and $\frac{1}{4}$ .

$\frac{5}{4} \sqrt{10}$

Step 3.2

Combine $\frac{5}{4}$ and $\sqrt{10}$ .

$\frac{5 \sqrt{10}}{4}$

$\frac{5 \sqrt{10}}{4}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{5 \sqrt{10}}{4}$

Decimal Form:

$3.95284707 \dots$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$