Questions about the world of GMAT Math from other sources and general math related questions.
CurtisVincentBorns
Forum Guests
 
Posts: 11
Joined: Wed Jun 20, 2012 11:39 am
 

If n is positive, which of the following is equal to

by CurtisVincentBorns Mon Jul 23, 2012 3:18 pm

If n is positive, which of the following is equal to

1/(SQRT(N+1) - SQRT(N))

A. 1
B. SQRT(2N+1)
C. (SQRT(N+1))/(SQ(N))
D. SQRT(N+1)-SQRT(N)
E. SQRT(N+1)+SQRT(N)

So I am having problems with these more advance exponents and roots questions.

I started off by multiplying the equation by the conjugate
SQRT(N+1)+SQRT(N)

I solved the equation through and got stuck at:

(SQRT(N+1)+SQRT(N))/((N+1)-(N))

Apparently the answer is E
I just dont know how to get from
(SQRT(N+1)+SQRT(N))/((N+1)-(N))
to
SQRT(N+1)+SQRT(N)
Last edited by CurtisVincentBorns on Tue Jul 24, 2012 12:36 pm, edited 1 time in total.
tim
Course Students
 
Posts: 5665
Joined: Tue Sep 11, 2007 9:08 am
Location: Southwest Airlines, seat 21C
 

Re: If n is positive, which of the following is equal to

by tim Tue Jul 24, 2012 10:49 am

(N+1)-(N) = 1, so the denominator is just 1 and therefore the answer is equivalent to the numerator..

Note to other students reading this thread: the problem and steps described above are missing A LOT of required parentheses, so please don't interpret any of the calculations literally..
Tim Sanders
Manhattan GMAT Instructor

Follow this link for some important tips to get the most out of your forum experience:
https://www.manhattanprep.com/gmat/forums/a-few-tips-t31405.html
CurtisVincentBorns
Forum Guests
 
Posts: 11
Joined: Wed Jun 20, 2012 11:39 am
 

Re: If n is positive, which of the following is equal to

by CurtisVincentBorns Tue Jul 24, 2012 12:35 pm

tim Wrote:(N+1)-(N) = 1, so the denominator is just 1 and therefore the answer is equivalent to the numerator..


Wow, haha thanks a lot...guess I was over thinking it

tim Wrote:Note to other students reading this thread: the problem and steps described above are missing A LOT of required parentheses, so please don't interpret any of the calculations literally..


Sorry about that I've added a few in
tim
Course Students
 
Posts: 5665
Joined: Tue Sep 11, 2007 9:08 am
Location: Southwest Airlines, seat 21C
 

Re: If n is positive, which of the following is equal to

by tim Wed Jul 25, 2012 6:42 am

thanks Curtis; the parentheses all look correct now..
Tim Sanders
Manhattan GMAT Instructor

Follow this link for some important tips to get the most out of your forum experience:
https://www.manhattanprep.com/gmat/forums/a-few-tips-t31405.html