Basic Math Examples

$\sqrt{3 u^{2}} + 3 u \sqrt{12}$

Step 1

Simplify each term.

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Step 1.1

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

$\sqrt{u^{2} \cdot 3} + 3 u \sqrt{12}$

Step 1.2

Pull terms out from under the radical.

$u \sqrt{3} + 3 u \sqrt{12}$

Step 1.3

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

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Step 1.3.1

Factor $4$ out of $12$ .

$u \sqrt{3} + 3 u \sqrt{4 (3)}$

Step 1.3.2

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

$u \sqrt{3} + 3 u \sqrt{2^{2} \cdot 3}$

$u \sqrt{3} + 3 u \sqrt{2^{2} \cdot 3}$

Step 1.4

Pull terms out from under the radical.

$u \sqrt{3} + 3 u (2 \sqrt{3})$

Step 1.5

Multiply $2$ by $3$ .

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

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

Step 2

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

$7 u \sqrt{3}$

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