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

The triangle is right-angled, so $x^2 = 72^2 + 65^2$.

Step2: Calculate each squared term

$72^2 = 5184$, $65^2 = 4225$

Step3: Sum the squared terms

$x^2 = 5184 + 4225 = 9409$

Step4: Take square root of sum

$x = \sqrt{9409}$

Step5: Simplify the square root

$\sqrt{9409} = 97$

Answer:

$97$