Algebra Examples

$6 \sqrt{3 x^{2}} + x \sqrt{108}$

Step 1

Simplify each term.

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Step 1.1

Reorder $3$ and $x^{2}$ .

$6 \sqrt{x^{2} \cdot 3} + x \sqrt{108}$

Step 1.2

Pull terms out from under the radical.

$6 (x \sqrt{3}) + x \sqrt{108}$

Step 1.3

Rewrite $108$ as $6^{2} \cdot 3$ .

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Step 1.3.1

Factor $36$ out of $108$ .

$6 x \sqrt{3} + x \sqrt{36 (3)}$

Step 1.3.2

Rewrite $36$ as $6^{2}$ .

$6 x \sqrt{3} + x \sqrt{6^{2} \cdot 3}$

$6 x \sqrt{3} + x \sqrt{6^{2} \cdot 3}$

Step 1.4

Pull terms out from under the radical.

$6 x \sqrt{3} + x (6 \sqrt{3})$

Step 1.5

Move $6$ to the left of $x$ .

$6 x \sqrt{3} + 6 x \sqrt{3}$

$6 x \sqrt{3} + 6 x \sqrt{3}$

Step 2

Add $6 x \sqrt{3}$ and $6 x \sqrt{3}$ .

$12 x \sqrt{3}$

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