Question

find the value of x.
$x = ?\sqrt{\square}$

Explanation:

Step1: Apply Pythagorean theorem

$$x^2 = 8^2 + 16^2$$

Step2: Calculate squared terms

$$x^2 = 64 + 256$$

Step3: Sum the values

$$x^2 = 320$$

Step4: Solve for x (simplify root)

$$x = \sqrt{320} = \sqrt{64 \times 5} = 8\sqrt{5}$$

Answer:

$8\sqrt{5}$