Simplify square root of 3^3 square root of 2

$\sqrt{3^{3}} \sqrt{2}$

Combine using the product rule for radicals.

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

Simplify the expression.

Raise $3$ to the power of $3$ .

$\sqrt{27 \cdot 2}$

Multiply $27$ by $2$ .

$\sqrt{54}$

$\sqrt{54}$

Rewrite $54$ as $3^{2} \cdot 6$ .

Factor $9$ out of $54$ .

$\sqrt{9 (6)}$

Rewrite $9$ as $3^{2}$ .

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

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

Pull terms out from under the radical.

$3 \sqrt{6}$

The result can be shown in multiple forms.

Exact Form:

$3 \sqrt{6}$

Decimal Form:

$7.34846922 \dots$

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