Algebra Examples

\sqrt{63}

$\sqrt{63}$

Step 1

Rewrite

63

$63$ as

3^{2} \cdot 7

$3^{2} \cdot 7$ .

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Step 1.1

Factor

9

$9$ out of

63

$63$ .

\sqrt{9 (7)}

$\sqrt{9 (7)}$

Step 1.2

Rewrite

9

$9$ as

3^{2}

$3^{2}$ .

\sqrt{3^{2} \cdot 7}

$\sqrt{3^{2} \cdot 7}$

\sqrt{3^{2} \cdot 7}

$\sqrt{3^{2} \cdot 7}$

Step 2

Pull terms out from under the radical.

3 \sqrt{7}

$3 \sqrt{7}$

Step 3

The result can be shown in multiple forms.

Exact Form:

3 \sqrt{7}

$3 \sqrt{7}$

Decimal Form:

7.93725393 \dots

$7.93725393 \dots$

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

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