Simplify the Radical Expression square root of 3^3*6^3

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

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

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

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

$\sqrt{27 \cdot 216}$

Multiply $27$ by $216$ .

$\sqrt{5832}$

Rewrite $5832$ as $54^{2} \cdot 2$ .

Factor $2916$ out of $5832$ .

$\sqrt{2916 (2)}$

Rewrite $2916$ as $54^{2}$ .

$\sqrt{54^{2} \cdot 2}$

Pull terms out from under the radical.

$| 54 | \sqrt{2}$

The absolute value is the distance between a number and zero. The distance between $0$ and $54$ is $54$ .

$54 \sqrt{2}$

The result can be shown in multiple forms.

Exact Form:

$54 \sqrt{2}$

Decimal Form:

$76.36753236 \dots$