# Math Help - Absolute Values Radical Expressions

1. ## Absolute Values Radical Expressions

Why is it that you have to put an absolute value sign for the answer of:

√((x-5)^2)

But not for:

√ ((x-5)^4)

2. Originally Posted by Carpenter1119
Why is it that you have to put an absolute value sign for the answer of:

√((x-5)^2)

But not for:

√ ((x-5)^4)
because $\sqrt{(x-5)^4} = (x-5)^2 > 0$ for all x w/o using absolute value