Here is the problem: x^(2) ^(1/2) (That's the square root of x squared) = -x consists of ?
A. zero only
B. nonpositive real numbers only
C. positive real numbers only
d. all real numbers
e. no real numbers
Explanation: Choice B is correct. Every positive number n hast two square roots, one positive and the other negative, but the square root of n denotes the positive number whose square is n.
Why does it only denote the positive number? I am used to puttingi + or - whenever I take the square root of something. I just want to understand this clearly. If I wanted to simplify it more, could I also do that to solve? Thanks.