Evaluate square root of 30*6 square root of 10

$\sqrt{30} \cdot 6 \sqrt{10}$

Multiply $\sqrt{30} (6 \sqrt{10})$ .

Combine using the product rule for radicals.

$6 \sqrt{30 \cdot 10}$

Multiply $30$ by $10$ .

$6 \sqrt{300}$

$6 \sqrt{300}$

Rewrite $300$ as $10^{2} \cdot 3$ .

Factor $100$ out of $300$ .

$6 \sqrt{100 (3)}$

Rewrite $100$ as $10^{2}$ .

$6 \sqrt{10^{2} \cdot 3}$

$6 \sqrt{10^{2} \cdot 3}$

Pull terms out from under the radical.

$6 (10 \sqrt{3})$

Multiply $10$ by $6$ .

$60 \sqrt{3}$

The result can be shown in multiple forms.

Exact Form:

$60 \sqrt{3}$

Decimal Form:

$103.92304845 \dots$

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