Trigonometry Examples

$\sqrt{11 (11 - 6) (11 - 7) (11 - 9)}$

Step 1

Subtract $6$ from $11$ .

$\sqrt{11 \cdot 5 (11 - 7) (11 - 9)}$

Step 2

Multiply $11$ by $5$ .

$\sqrt{55 (11 - 7) (11 - 9)}$

Step 3

Subtract $7$ from $11$ .

$\sqrt{55 \cdot 4 (11 - 9)}$

Step 4

Multiply $55$ by $4$ .

$\sqrt{220 (11 - 9)}$

Step 5

Subtract $9$ from $11$ .

$\sqrt{220 \cdot 2}$

Step 6

Multiply $220$ by $2$ .

$\sqrt{440}$

Step 7

Rewrite $440$ as $2^{2} \cdot 110$ .

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Step 7.1

Factor $4$ out of $440$ .

$\sqrt{4 (110)}$

Step 7.2

Rewrite $4$ as $2^{2}$ .

$\sqrt{2^{2} \cdot 110}$

$\sqrt{2^{2} \cdot 110}$

Step 8

Pull terms out from under the radical.

$2 \sqrt{110}$

Step 9

The result can be shown in multiple forms.

Exact Form:

$2 \sqrt{110}$

Decimal Form:

$20.97617696 \dots$

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