Final answer:
The value of x in the equation √x - 8 = 5 is 33.
Step-by-step explanation:
To solve for x, where x is a real number in the equation √x - 8 = 5, we need to isolate x.
First, we can square both sides of the equation to get rid of the square root.
Here's the step-by-step solution:
- Square both sides of the equation: (√x - 8)^2 = 5^2 which simplifies to x - 8 = 25.
- Add 8 to both sides to isolate x: x - 8 + 8 = 25 + 8, which gives x = 33.
Therefore, the value of x is 33.