The calculated value of x in the simplest radical form is x = √34
How to determine the value of x
From the question, we have the following parameters that can be used in our computation:
The right triangles
Start by calculating the hypotenuse (h) of the small triangle using the Pythagoras theorem
So, we have
h² = 2² + 3²
h² = 13
The value of x can then be calculated using
x² = 8² - h²
This gives
x² = (√47)² - 13
x² = 47 - 13
Evaluate
x² = 34
So, we have
x = √34
Hence, the value of x is x = √34