Calculus Examples

$- 2 \sqrt{8 k^{2}}$

Step 1

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

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Step 1.1

Factor $4$ out of $8$ .

$- 2 \sqrt{4 (2) k^{2}}$

Step 1.2

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

$- 2 \sqrt{2^{2} \cdot 2 k^{2}}$

Step 1.3

Move $2$ .

$- 2 \sqrt{2^{2} k^{2} \cdot 2}$

Step 1.4

Rewrite $2^{2} k^{2}$ as ${(2 k)}^{2}$ .

$- 2 \sqrt{{(2 k)}^{2} \cdot 2}$

$- 2 \sqrt{{(2 k)}^{2} \cdot 2}$

Step 2

Pull terms out from under the radical.

$- 2 (2 k \sqrt{2})$

Step 3

Multiply $2$ by $- 2$ .

$- 4 k \sqrt{2}$

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