Trigonometry Examples

$10 \sqrt{2} - 2 \sqrt{8}$

Step 1

Simplify each term.

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Step 1.1

Rewrite $8$ as $2^{2} \cdot 2$ .

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Step 1.1.1

Factor $4$ out of $8$ .

$10 \sqrt{2} - 2 \sqrt{4 (2)}$

Step 1.1.2

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

$10 \sqrt{2} - 2 \sqrt{2^{2} \cdot 2}$

$10 \sqrt{2} - 2 \sqrt{2^{2} \cdot 2}$

Step 1.2

Pull terms out from under the radical.

$10 \sqrt{2} - 2 (2 \sqrt{2})$

Step 1.3

Multiply $2$ by $- 2$ .

$10 \sqrt{2} - 4 \sqrt{2}$

$10 \sqrt{2} - 4 \sqrt{2}$

Step 2

Subtract $4 \sqrt{2}$ from $10 \sqrt{2}$ .

$6 \sqrt{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$6 \sqrt{2}$

Decimal Form:

$8.48528137 \dots$

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