Simplify square root of 20* square root of 3* square root of 18

$\sqrt{20} \cdot \sqrt{3} \cdot \sqrt{18}$

Combine using the product rule for radicals.

$\sqrt{20 \cdot 3} \cdot \sqrt{18}$

Combine using the product rule for radicals.

$\sqrt{20 \cdot 3 \cdot 18}$

Multiply.

Multiply $20$ by $3$ .

$\sqrt{60 \cdot 18}$

Multiply $60$ by $18$ .

$\sqrt{1080}$

Rewrite $1080$ as $6^{2} \cdot 30$ .

Factor $36$ out of $1080$ .

$\sqrt{36 (30)}$

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

$\sqrt{6^{2} \cdot 30}$

Pull terms out from under the radical.

$6 \sqrt{30}$

The result can be shown in multiple forms.

Exact Form:

$6 \sqrt{30}$

Decimal Form:

$32.86335345 \dots$