Algebra Examples

$- \sqrt{250}$

Step 1

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

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Factor $25$ out of $250$ .

$- \sqrt{25 (10)}$

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

$- \sqrt{5^{2} \cdot 10}$

$- \sqrt{5^{2} \cdot 10}$

Step 2

Pull terms out from under the radical.

$- (5 \sqrt{10})$

Step 3

Multiply $5$ by $- 1$ .

$- 5 \sqrt{10}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$- 5 \sqrt{10}$

Decimal Form:

$- 15.81138830 \dots$

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