Algebra Examples

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

Step 1

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

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

Step 2

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

$\sqrt{27 \cdot 216}$

Step 3

Multiply $27$ by $216$ .

$\sqrt{5832}$

Step 4

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

Tap for more steps...

Step 4.1

Factor $2916$ out of $5832$ .

$\sqrt{2916 (2)}$

Step 4.2

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

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

Step 5

Pull terms out from under the radical.

$| 54 | \sqrt{2}$

Step 6

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

$54 \sqrt{2}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$54 \sqrt{2}$

Decimal Form:

$76.36753236 \dots$