Evaluate square root of 3* square root of 24

$\sqrt{3} \cdot \sqrt{24}$

Step 1

Combine using the product rule for radicals.

$\sqrt{3 \cdot 24}$

Step 2

Multiply $3$ by $24$ .

$\sqrt{72}$

Step 3

Rewrite $72$ as $6^{2} \cdot 2$ .

Factor $36$ out of $72$ .

$\sqrt{36 (2)}$

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

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

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

Step 4

Pull terms out from under the radical.

$6 \sqrt{2}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$6 \sqrt{2}$

Decimal Form:

$8.48528137 \dots$

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