Precalculus Examples

$r = \sqrt{5^{2} + 12^{2}}$

Step 1

Raise $5$ to the power of $2$ .

$r = \sqrt{25 + 12^{2}}$

Step 2

Raise $12$ to the power of $2$ .

$r = \sqrt{25 + 144}$

Step 3

Add $25$ and $144$ .

$r = \sqrt{169}$

Step 4

Rewrite $169$ as $13^{2}$ .

$r = \sqrt{13^{2}}$

Step 5

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

$r = 13$