Basic Math Examples

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

Step 1

Rewrite $8$ as $2^{2} \cdot 2$ .

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Step 1.1

Factor $4$ out of $8$ .

$- \sqrt{4 (2)} a^{3} - \sqrt{8} a^{3}$

Step 1.2

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

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

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

Step 2

Pull terms out from under the radical.

$- (2 \sqrt{2}) a^{3} - \sqrt{8} a^{3}$

Step 3

Multiply $2$ by $- 1$ .

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

Step 4

Rewrite $8$ as $2^{2} \cdot 2$ .

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Step 4.1

Factor $4$ out of $8$ .

$- 2 \sqrt{2} a^{3} - \sqrt{4 (2)} a^{3}$

Step 4.2

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

$- 2 \sqrt{2} a^{3} - \sqrt{2^{2} \cdot 2} a^{3}$

$- 2 \sqrt{2} a^{3} - \sqrt{2^{2} \cdot 2} a^{3}$

Step 5

Pull terms out from under the radical.

$- 2 \sqrt{2} a^{3} - (2 \sqrt{2}) a^{3}$

Step 6

Multiply $2$ by $- 1$ .

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

Step 7

Subtract $2 \sqrt{2} a^{3}$ from $- 2 \sqrt{2} a^{3}$ .

$- 4 \sqrt{2} a^{3}$

Step 8

Reorder the factors of $- 4 \sqrt{2} a^{3}$ .

$- 4 a^{3} \sqrt{2}$

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