Pre-Algebra Examples

${(\sqrt{29})}^{5}$

Step 1

Rewrite ${\sqrt{29}}^{5}$ as $\sqrt{29^{5}}$ .

$\sqrt{29^{5}}$

Step 2

Raise $29$ to the power of $5$ .

$\sqrt{20511149}$

Step 3

Rewrite $20511149$ as $841^{2} \cdot 29$ .

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Step 3.1

Factor $707281$ out of $20511149$ .

$\sqrt{707281 (29)}$

Step 3.2

Rewrite $707281$ as $841^{2}$ .

$\sqrt{841^{2} \cdot 29}$

$\sqrt{841^{2} \cdot 29}$

Step 4

Pull terms out from under the radical.

$841 \sqrt{29}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$841 \sqrt{29}$

Decimal Form:

$4528.92360280 \dots$

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