Pre-Algebra Examples

$7 \sqrt{3 x} + 2 \sqrt{12 x}$

Step 1

Simplify each term.

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Step 1.1

Rewrite $12 x$ as $2^{2} \cdot (3 x)$ .

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Step 1.1.1

Factor $4$ out of $12$ .

$7 \sqrt{3 x} + 2 \sqrt{4 (3) x}$

Step 1.1.2

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

$7 \sqrt{3 x} + 2 \sqrt{2^{2} \cdot 3 x}$

Step 1.1.3

Add parentheses.

$7 \sqrt{3 x} + 2 \sqrt{2^{2} \cdot (3 x)}$

$7 \sqrt{3 x} + 2 \sqrt{2^{2} \cdot (3 x)}$

Step 1.2

Pull terms out from under the radical.

$7 \sqrt{3 x} + 2 (2 \sqrt{3 x})$

Step 1.3

Multiply $2$ by $2$ .

$7 \sqrt{3 x} + 4 \sqrt{3 x}$

$7 \sqrt{3 x} + 4 \sqrt{3 x}$

Step 2

Add $7 \sqrt{3 x}$ and $4 \sqrt{3 x}$ .

$11 \sqrt{3 x}$

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