Algebra Examples

$6 \sqrt{4} \cdot 2 \sqrt{5}$

Step 1

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

$6 \sqrt{2^{2}} \cdot 2 \sqrt{5}$

Step 2

Pull terms out from under the radical.

$6 | 2 | \cdot 2 \sqrt{5}$

Step 3

The absolute value is the distance between a number and zero. The distance between $0$ and $2$ is $2$ .

$6 \cdot 2 \cdot 2 \sqrt{5}$

Step 4

Multiply $6 \cdot 2 \cdot 2$ .

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Step 4.1

Multiply $6$ by $2$ .

$12 \cdot 2 \sqrt{5}$

Step 4.2

Multiply $12$ by $2$ .

$24 \sqrt{5}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$24 \sqrt{5}$

Decimal Form:

$53.66563145 \dots$