Question

what is the value of x in simplest radical form?
$x = \square$
(simplify your answer. type an exact answer, using radicals as needed.)

Explanation:

Step1: Apply Pythagorean theorem

$$x^2 = 16^2 + 12^2$$

Step2: Calculate squared terms

$$x^2 = 256 + 144$$

Step3: Sum the values

$$x^2 = 400$$

Step4: Take square root of both sides

$$x = \sqrt{400}$$

Step5: Simplify the radical

$$x = 20$$

Answer:

20