Simplify square root of 5* square root of 30

$\sqrt{5} \cdot \sqrt{30}$

Step 1

Combine using the product rule for radicals.

$\sqrt{5 \cdot 30}$

Step 2

Multiply $5$ by $30$ .

$\sqrt{150}$

Step 3

Rewrite $150$ as $5^{2} \cdot 6$ .

Factor $25$ out of $150$ .

$\sqrt{25 (6)}$

Rewrite $25$ as $5^{2}$ .

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

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

Step 4

Pull terms out from under the radical.

$5 \sqrt{6}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$5 \sqrt{6}$

Decimal Form:

$12.24744871 \dots$

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