GMAT Question of the Day - Problem Solving - Exponents/Puzzle
Which of the following is equivalent to (k-4)/(√k - 2)?
A. √k + 2
B. k + 4
GMAT Question of the Day Solution
On this GMAT question of the day it is important to recognize that the denominator is one half of a difference of squares (x + y)(x - y). In this case we have the "x - y" portion. You can go ahead and multiply top and bottom by the the other half (the "x + y" part) of the special quadratic in order to get rid of the root in the denominator. Once you've done that this question breaks down to some simple arithmetic. As always - take your time with your GMAT arithmetic. Speeding through it generally leads to mistakes which will slow you down.