Algebra Examples

$- \sqrt{6 x^{2}} + 8 x \sqrt{96}$

Step 1

Simplify each term.

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Step 1.1

Reorder $6$ and $x^{2}$ .

$- \sqrt{x^{2} \cdot 6} + 8 x \sqrt{96}$

Step 1.2

Pull terms out from under the radical.

$- (x \sqrt{6}) + 8 x \sqrt{96}$

Step 1.3

Rewrite $96$ as $4^{2} \cdot 6$ .

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Step 1.3.1

Factor $16$ out of $96$ .

$- x \sqrt{6} + 8 x \sqrt{16 (6)}$

Step 1.3.2

Rewrite $16$ as $4^{2}$ .

$- x \sqrt{6} + 8 x \sqrt{4^{2} \cdot 6}$

$- x \sqrt{6} + 8 x \sqrt{4^{2} \cdot 6}$

Step 1.4

Pull terms out from under the radical.

$- x \sqrt{6} + 8 x (4 \sqrt{6})$

Step 1.5

Multiply $4$ by $8$ .

$- x \sqrt{6} + 32 x \sqrt{6}$

$- x \sqrt{6} + 32 x \sqrt{6}$

Step 2

Add $- x \sqrt{6}$ and $32 x \sqrt{6}$ .

$31 x \sqrt{6}$

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