Evaluate square root of 12* square root of 15

$\sqrt{12} \cdot \sqrt{15}$

Step 1

Combine using the product rule for radicals.

$\sqrt{12 \cdot 15}$

Step 2

Multiply $12$ by $15$ .

$\sqrt{180}$

Step 3

Rewrite $180$ as $6^{2} \cdot 5$ .

Factor $36$ out of $180$ .

$\sqrt{36 (5)}$

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

$\sqrt{6^{2} \cdot 5}$

$\sqrt{6^{2} \cdot 5}$

Step 4

Pull terms out from under the radical.

$6 \sqrt{5}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$6 \sqrt{5}$

Decimal Form:

$13.41640786 \dots$

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