Evaluate square root of 30* square root of 12

$\sqrt{30} \cdot \sqrt{12}$

Step 1

Combine using the product rule for radicals.

$\sqrt{30 \cdot 12}$

Step 2

Multiply $30$ by $12$ .

$\sqrt{360}$

Step 3

Rewrite $360$ as $6^{2} \cdot 10$ .

Factor $36$ out of $360$ .

$\sqrt{36 (10)}$

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

$\sqrt{6^{2} \cdot 10}$

$\sqrt{6^{2} \cdot 10}$

Step 4

Pull terms out from under the radical.

$6 \sqrt{10}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$6 \sqrt{10}$

Decimal Form:

$18.97366596 \dots$

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