SOLUTION: Which of these radical expressions simplifies to x? A. (sqrtx)^2 B. sqrtx/x C. sqrtx^2 D. sqrt-x

Algebra ->  Radicals -> SOLUTION: Which of these radical expressions simplifies to x? A. (sqrtx)^2 B. sqrtx/x C. sqrtx^2 D. sqrt-x      Log On


   

Question 1127581: Which of these radical expressions simplifies to x?
A. (sqrtx)^2
B. sqrtx/x
C. sqrtx^2
D. sqrt-x
Found 2 solutions by MathLover1, greenestamps:
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

A. %28sqrt%28x%29%29%5E2=x
B. sqrt%28x%29%2Fx
C. sqrt%28x%5E2%29=x
D. sqrt%28-x%29
so, A. %28sqrt%28x%29%29%5E2=x and C. sqrt%28x%5E2%29=x

Answer by greenestamps(13198) About Me  (Show Source):
You can put this solution on YOUR website!


The answer from the other tutor is not right.

A. %28sqrt%28x%29%29%5E2+=+x squaring and taking a square root are inverse operations

B. sqrt%28x%29%2Fx+=+%28x%5E%281%2F2%29%29%2Fx+=+x%5E%28-1%2F2%29

C. sqrt%28x%5E2%29+=+abs%28x%29 this is equal to x only if x>0; it is -x for x<0

D. sqrt%28-x%29 can't be simplified

So the answer is only A; C does NOT simplify to "x".