Algebra Examples

$(\sqrt{24}) (\sqrt{36})$

Step 1

Rewrite $24$ as $2^{2} \cdot 6$ .

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Step 1.1

Factor $4$ out of $24$ .

$\sqrt{4 (6)} \sqrt{36}$

Step 1.2

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

$\sqrt{2^{2} \cdot 6} \sqrt{36}$

Step 2

Pull terms out from under the radical.

$2 \sqrt{6} \sqrt{36}$

Step 3

Write the expression using exponents.

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Step 3.1

Rewrite $36$ as $6^{2}$ .

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

Step 3.2

Multiply.

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Step 3.2.1

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

$2 \sqrt{6} \cdot 6$

Step 3.2.2

Multiply $6$ by $2$ .

$12 \sqrt{6}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$12 \sqrt{6}$

Decimal Form:

$29.39387691 \dots$