Algebra Examples

$(\sqrt{8}) (\sqrt{4}) (\sqrt{3})$

Step 1

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

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Step 1.1

Factor $4$ out of $8$ .

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

Step 1.2

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

$\sqrt{2^{2} \cdot 2} \sqrt{4} \sqrt{3}$

Step 2

Pull terms out from under the radical.

$2 \sqrt{2} \sqrt{4} \sqrt{3}$

Step 3

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

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

Step 4

Pull terms out from under the radical, assuming positive real numbers.

$2 \sqrt{2} \cdot 2 \sqrt{3}$

Step 5

Multiply $2$ by $2$ .

$4 \sqrt{2} \sqrt{3}$

Step 6

Multiply $4 \sqrt{2} \sqrt{3}$ .

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Step 6.1

Combine using the product rule for radicals.

$4 \sqrt{3 \cdot 2}$

Step 6.2

Multiply $3$ by $2$ .

$4 \sqrt{6}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$4 \sqrt{6}$

Decimal Form:

$9.79795897 \dots$