Basic Math Examples

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

Step 1

Raise $3$ to the power of $2$ .

$\sqrt{3^{2 + 9}}$

Step 2

Add $2$ and $9$ .

$\sqrt{3^{11}}$

Step 3

Raise $3$ to the power of $11$ .

$\sqrt{177147}$

Step 4

Rewrite $177147$ as $243^{2} \cdot 3$ .

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Step 4.1

Factor $59049$ out of $177147$ .

$\sqrt{59049 (3)}$

Step 4.2

Rewrite $59049$ as $243^{2}$ .

$\sqrt{243^{2} \cdot 3}$

$\sqrt{243^{2} \cdot 3}$

Step 5

Pull terms out from under the radical.

$243 \sqrt{3}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$243 \sqrt{3}$

Decimal Form:

$420.88834623 \dots$

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