Basic Math Examples

$\sqrt{125} - 4 \sqrt{5}$

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

Rewrite $125$ as $5^{2} \cdot 5$ .

Tap for more steps...

Step 1.1.1

Factor $25$ out of $125$ .

$\sqrt{25 (5)} - 4 \sqrt{5}$

Step 1.1.2

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

$\sqrt{5^{2} \cdot 5} - 4 \sqrt{5}$

$\sqrt{5^{2} \cdot 5} - 4 \sqrt{5}$

Step 1.2

Pull terms out from under the radical.

$5 \sqrt{5} - 4 \sqrt{5}$

$5 \sqrt{5} - 4 \sqrt{5}$

Step 2

Subtract $4 \sqrt{5}$ from $5 \sqrt{5}$ .

$\sqrt{5}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\sqrt{5}$

Decimal Form:

$2.23606797 \dots$

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