lukaswelker wrote:
If X ≠0, then (√x²)/x =
A) -1
B) 0
C) 1
D) x
E) |x|/x
IMPORTANT thing to memorize:
√x² = |x|
So, if we take (√x²)/x and replace √x² with |x|, we get [spoiler]|x|/x[/spoiler]
Answer:
E
We can also solve the question by PLUGGING in values and eventually eliminating all answers but one.
Try x = 3
(√x²)/x = (√3²)/3 = 3/3 = 1
So, we can eliminate A, B and D
Since |x|/x becomes |3|/3 = 1, we cannot eliminate E
So, we're left with C or E
Try x = -3
(√x²)/x = (√(-3)²)/(-3) = 3/-3 = -1
So, we can eliminate C
By the process of elimination, we're left with
E
Also note that |x|/x becomes |-3|/-3 = -1 PERFECT!
Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
