Trigonometry Examples

$\sqrt{{(- 4 - (- 2))}^{2 + {(2 - 6)}^{2}}}$

Step 1

Simplify the expression.

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Step 1.1

Multiply $- 1$ by $- 2$ .

$\sqrt{{(- 4 + 2)}^{2 + {(2 - 6)}^{2}}}$

Step 1.2

Add $- 4$ and $2$ .

$\sqrt{{(- 2)}^{2 + {(2 - 6)}^{2}}}$

Step 2

Simplify each term.

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Step 2.1

Subtract $6$ from $2$ .

$\sqrt{{(- 2)}^{2 + {(- 4)}^{2}}}$

Step 2.2

Raise $- 4$ to the power of $2$ .

$\sqrt{{(- 2)}^{2 + 16}}$

Step 3

Simplify the expression.

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Step 3.1

Add $2$ and $16$ .

$\sqrt{{(- 2)}^{18}}$

Step 3.2

Raise $- 2$ to the power of $18$ .

$\sqrt{262144}$

Step 3.3

Rewrite $262144$ as $512^{2}$ .

$\sqrt{512^{2}}$

Step 3.4

Pull terms out from under the radical, assuming positive real numbers.

$512$