Trigonometry Examples

$2 (\sqrt{52}) (\sqrt{53})$

Step 1

Rewrite $52$ as $2^{2} \cdot 13$ .

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Step 1.1

Factor $4$ out of $52$ .

$2 \sqrt{4 (13)} \sqrt{53}$

Step 1.2

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

$2 \sqrt{2^{2} \cdot 13} \sqrt{53}$

$2 \sqrt{2^{2} \cdot 13} \sqrt{53}$

Step 2

Pull terms out from under the radical.

$2 (2 \sqrt{13}) \sqrt{53}$

Step 3

Multiply $2$ by $2$ .

$4 \sqrt{13} \sqrt{53}$

Step 4

Multiply $4 \sqrt{13} \sqrt{53}$ .

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Step 4.1

Combine using the product rule for radicals.

$4 \sqrt{53 \cdot 13}$

Step 4.2

Multiply $53$ by $13$ .

$4 \sqrt{689}$

$4 \sqrt{689}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$4 \sqrt{689}$

Decimal Form:

$104.99523798 \dots$

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