Trigonometry Examples

$\sqrt{33 \cdot 33 + 54 \cdot 54}$

Step 1

Multiply $33$ by $33$ .

$\sqrt{1089 + 54 \cdot 54}$

Step 2

Multiply $54$ by $54$ .

$\sqrt{1089 + 2916}$

Step 3

Add $1089$ and $2916$ .

$\sqrt{4005}$

Step 4

Rewrite $4005$ as $3^{2} \cdot 445$ .

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Step 4.1

Factor $9$ out of $4005$ .

$\sqrt{9 (445)}$

Step 4.2

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

$\sqrt{3^{2} \cdot 445}$

$\sqrt{3^{2} \cdot 445}$

Step 5

Pull terms out from under the radical.

$3 \sqrt{445}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$3 \sqrt{445}$

Decimal Form:

$63.28506932 \dots$

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