Basic Math Examples

$\sqrt{125} \div 5$

Step 1

Rewrite the division as a fraction.

$\frac{\sqrt{125}}{5}$

Step 2

Simplify the numerator.

Tap for more steps...

Step 2.1

Rewrite

$125$ as

$5^{2} \cdot 5$ .

Tap for more steps...

Step 2.1.1

Factor

$25$ out of

$125$ .

$\frac{\sqrt{25 (5)}}{5}$

Step 2.1.2

Rewrite

$25$ as

$5^{2}$ .

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

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

Step 2.2

Pull terms out from under the radical.

$\frac{5 \sqrt{5}}{5}$

$\frac{5 \sqrt{5}}{5}$

Step 3

Cancel the common factor of

$5$ .

Tap for more steps...

Step 3.1

Cancel the common factor.

$\frac{5 \sqrt{5}}{5}$

Step 3.2

Divide

$\sqrt{5}$ by

$1$ .

$\sqrt{5}$

$\sqrt{5}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\sqrt{5}$

Decimal Form:

$2.23606797 \dots$

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