SOLUTION: These are my homework questions that I am confused on. Quetion 1 If x is any real number, is this always true? Show why or why not. square root of x^2 = x I say

Question 160592: These are my homework questions that I am confused on.
Quetion 1
If x is any real number, is this always true? Show why or why not.
square root of x^2 = x
I say no because if x is a negative number than the square result would not be a negative number.

Question 2
If a and b are real numbers and a^2 = b^2, explain your answer.
I say yes because if a and b are equal in the beginning, then if you do the same to each of them then they will still be equal.
Thank you for your help.
Found 2 solutions by Fombitz, MathLover1:
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Question 1: Yes, you're correct.
What is true is that:
and
.
.
.
Question 2: Yes, you're correct again.
If
then it follows that

But since a=b then you can substitute,

.
.
.
Good job!
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

1. If is any real number, is this always true?
answer:

The must always by definition be regardless if is positive or negative number�.example:
2. If and are real numbers and , then .
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