Simplify the Radical Expression ( square root of 24)( square root of 6)

$(\sqrt{24}) (\sqrt{6})$

Step 1

Combine using the product rule for radicals.

$\sqrt{24 \cdot 6}$

Step 2

Multiply $24$ by $6$ .

$\sqrt{144}$

Step 3

Rewrite $144$ as $12^{2}$ .

$\sqrt{12^{2}}$

Step 4

Pull terms out from under the radical.

$| 12 |$

Step 5

The absolute value is the distance between a number and zero. The distance between $0$ and $12$ is $12$ .

$12$