How do you simplify (square root) of (x-3) squared?

Question

What is its domain?

Answer 1

Do you mean sqrt{(x - 3)^2} ?
sqrt{(x - 3)^2} = |x - 3|
the domain is -∞ < x < ∞
while [sqrt(x - 3)]^2 = x - 3
and the domain is: x >= 3