Algebra Examples

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

Step 1

Combine using the product rule for radicals.

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

Step 2

Simplify the expression.

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Step 2.1

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

$\sqrt{27 \cdot 2}$

Step 2.2

Multiply $27$ by $2$ .

$\sqrt{54}$

$\sqrt{54}$

Step 3

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

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Step 3.1

Factor $9$ out of $54$ .

$\sqrt{9 (6)}$

Step 3.2

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

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

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

Step 4

Pull terms out from under the radical.

$3 \sqrt{6}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$3 \sqrt{6}$

Decimal Form:

$7.34846922 \dots$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$