Algebra Examples

$\sqrt{7^{3}}$

Step 1

Raise $7$ to the power of $3$ .

$\sqrt{343}$

Step 2

Rewrite $343$ as $7^{2} \cdot 7$ .

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Step 2.1

Factor $49$ out of $343$ .

$\sqrt{49 (7)}$

Step 2.2

Rewrite $49$ as $7^{2}$ .

$\sqrt{7^{2} \cdot 7}$

Step 3

Pull terms out from under the radical.

$| 7 | \sqrt{7}$

Step 4

The absolute value is the distance between a number and zero. The distance between $0$ and $7$ is $7$ .

$7 \sqrt{7}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$7 \sqrt{7}$

Decimal Form:

$18.52025917 \dots$