Calculus Examples

$\sqrt{36 - {(3)}^{2}}$

Step 1

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

$\sqrt{36 - 1 \cdot 9}$

Step 2

Multiply $- 1$ by $9$ .

$\sqrt{36 - 9}$

Step 3

Subtract $9$ from $36$ .

$\sqrt{27}$

Step 4

Rewrite $27$ as $3^{2} \cdot 3$ .

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Step 4.1

Factor $9$ out of $27$ .

$\sqrt{9 (3)}$

Step 4.2

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

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

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

Step 5

Pull terms out from under the radical.

$3 \sqrt{3}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$3 \sqrt{3}$

Decimal Form:

$5.19615242 \dots$

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