Simplify ( square root of 24)( square root of 36)

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

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

Factor $4$ out of $24$ .

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

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

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

Pull terms out from under the radical.

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

Write the expression using exponents.

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

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

Multiply.

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

$2 \sqrt{6} \cdot 6$

Multiply $6$ by $2$ .

$12 \sqrt{6}$

The result can be shown in multiple forms.

Exact Form:

$12 \sqrt{6}$

Decimal Form:

$29.39387691 \dots$