Evaluate square root of 3^3*6^3

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

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

$\sqrt{27} \cdot 6^{3}$

Rewrite $27$ as $3^{2} \cdot 3$ .

Factor $9$ out of $27$ .

$\sqrt{9 (3)} \cdot 6^{3}$

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

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

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

Pull terms out from under the radical.

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

Simplify the expression.

Raise $6$ to the power of $3$ .

$3 \sqrt{3} \cdot 216$

Multiply $216$ by $3$ .

$648 \sqrt{3}$

$648 \sqrt{3}$

The result can be shown in multiple forms.

Exact Form:

$648 \sqrt{3}$

Decimal Form:

$1122.36892330 \dots$

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