Basic Math Examples

$4 \sqrt{15} - 2 \sqrt{60}$

Step 1

Simplify each term.

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Step 1.1

Rewrite $60$ as $2^{2} \cdot 15$ .

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Step 1.1.1

Factor $4$ out of $60$ .

$4 \sqrt{15} - 2 \sqrt{4 (15)}$

Step 1.1.2

Rewrite $4$ as $2^{2}$ .

$4 \sqrt{15} - 2 \sqrt{2^{2} \cdot 15}$

$4 \sqrt{15} - 2 \sqrt{2^{2} \cdot 15}$

Step 1.2

Pull terms out from under the radical.

$4 \sqrt{15} - 2 (2 \sqrt{15})$

Step 1.3

Multiply $2$ by $- 2$ .

$4 \sqrt{15} - 4 \sqrt{15}$

$4 \sqrt{15} - 4 \sqrt{15}$

Step 2

Subtract $4 \sqrt{15}$ from $4 \sqrt{15}$ .

$0$

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