Algebra Examples

$\sqrt{8}$ , $3 i$

Step 1

Multiply the expressions.

$\sqrt{8} \cdot (3 i)$

Step 2

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

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Step 2.1

Factor $4$ out of $8$ .

$\sqrt{4 (2)} \cdot (3 i)$

Step 2.2

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

$\sqrt{2^{2} \cdot 2} \cdot (3 i)$

$\sqrt{2^{2} \cdot 2} \cdot (3 i)$

Step 3

Pull terms out from under the radical.

$2 \sqrt{2} \cdot (3 i)$

Step 4

Multiply $3$ by $2$ .

$6 \sqrt{2} i$

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