Algebra Examples

$\sqrt{500}$

Step 1

Rewrite $500$ as $10^{2} \cdot 5$ .

Tap for more steps...

Step 1.1

Factor $100$ out of $500$ .

$\sqrt{100 (5)}$

Step 1.2

Rewrite $100$ as $10^{2}$ .

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

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

Step 2

Pull terms out from under the radical.

$10 \sqrt{5}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$10 \sqrt{5}$

Decimal Form:

$22.36067977 \dots$

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