Finite Math Examples

$7 \sqrt{2 a^{3}} - \sqrt{8 a}$

Step 1

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

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Step 1.1

Factor out $a^{2}$ .

$7 \sqrt{2 (a^{2} a)} - \sqrt{8 a}$

Step 1.2

Reorder $2$ and $a^{2}$ .

$7 \sqrt{a^{2} \cdot 2 a} - \sqrt{8 a}$

Step 1.3

Add parentheses.

$7 \sqrt{a^{2} \cdot (2 a)} - \sqrt{8 a}$

$7 \sqrt{a^{2} \cdot (2 a)} - \sqrt{8 a}$

Step 2

Pull terms out from under the radical.

$7 (a \sqrt{2 a}) - \sqrt{8 a}$

Step 3

Rewrite $8 a$ as $2^{2} \cdot (2 a)$ .

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Step 3.1

Factor $4$ out of $8$ .

$7 a \sqrt{2 a} - \sqrt{4 (2) a}$

Step 3.2

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

$7 a \sqrt{2 a} - \sqrt{2^{2} \cdot 2 a}$

Step 3.3

Add parentheses.

$7 a \sqrt{2 a} - \sqrt{2^{2} \cdot (2 a)}$

$7 a \sqrt{2 a} - \sqrt{2^{2} \cdot (2 a)}$

Step 4

Pull terms out from under the radical.

$7 a \sqrt{2 a} - (2 \sqrt{2 a})$

Step 5

Multiply $2$ by $- 1$ .

$7 a \sqrt{2 a} - 2 \sqrt{2 a}$

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