Square root of squares ...

This topic has expert replies
Junior | Next Rank: 30 Posts
Posts: 16
Joined: Fri Mar 28, 2008 6:01 am
Thanked: 1 times

Square root of squares ...

by richs_ca » Sun May 04, 2008 10:27 am
If X<0 then sq rt of -X \x\ is (note: \x\ is absolute value of x, not sure how to make the propoer symbol.)

I thought the answer was X. X is negative and it asks for the sq rt of -X, so -(-X) is X. And X times the absolute value of X is X*X which is X^2, and the sq rt of that is X.

But it tells me that the answer is -X. What am I missing?
Source: — Problem Solving |

User avatar
GMAT Instructor
Posts: 3225
Joined: Tue Jan 08, 2008 2:40 pm
Location: Toronto
Thanked: 1710 times
Followed by:614 members
GMAT Score:800

Re: Square root of squares ...

by Stuart@KaplanGMAT » Sun May 04, 2008 5:36 pm
richs_ca wrote:If X<0 then sq rt of -X \x\ is (note: \x\ is absolute value of x, not sure how to make the propoer symbol.)

I thought the answer was X. X is negative and it asks for the sq rt of -X, so -(-X) is X. And X times the absolute value of X is X*X which is X^2, and the sq rt of that is X.

But it tells me that the answer is -X. What am I missing?
X is negative and sqrtX is defined as the postive root of X.

So, since the correct answer is positive, and X is negative, we need to multiply X by -1 to make it positive.

In other words, -1(x) = positive number
Image

Stuart Kovinsky | Kaplan GMAT Faculty | Toronto

Kaplan Exclusive: The Official Test Day Experience | Ready to Take a Free Practice Test? | Kaplan/Beat the GMAT Member Discount
BTG100 for $100 off a full course

Newbie | Next Rank: 10 Posts
Posts: 4
Joined: Sun Nov 15, 2009 5:47 pm

by CarpeDiem2011 » Thu Dec 03, 2009 12:35 pm
This question still doesn't make sense - can someone help?

Newbie | Next Rank: 10 Posts
Posts: 5
Joined: Fri Jul 17, 2009 9:39 am

by rohit.reddy » Thu Dec 03, 2009 11:47 pm
according to me the answer should be "i|x|"

User avatar
Junior | Next Rank: 30 Posts
Posts: 11
Joined: Mon Dec 27, 2010 7:31 pm
Thanked: 1 times

by beastly B » Mon Dec 27, 2010 9:11 pm
Stuart Kovinsky wrote:
richs_ca wrote:If X<0 then sq rt of -X \x\ is (note: \x\ is absolute value of x, not sure how to make the propoer symbol.)

I thought the answer was X. X is negative and it asks for the sq rt of -X, so -(-X) is X. And X times the absolute value of X is X*X which is X^2, and the sq rt of that is X.

But it tells me that the answer is -X. What am I missing?
X is negative and sqrtX is defined as the postive root of X.

So, since the correct answer is positive, and X is negative, we need to multiply X by -1 to make it positive.

In other words, -1(x) = positive number
yes x would have to -

User avatar
GMAT Instructor
Posts: 1449
Joined: Sat Oct 09, 2010 2:16 pm
Thanked: 59 times
Followed by:33 members

by fskilnik@GMATH » Tue Dec 28, 2010 5:29 am
Hi there!

I´ve explained all this before, with FULL details/analysis.

Please have a look at the link below.

Regards,
Fabio.

Link: https://www.beatthegmat.com/ds-t71728.html#324807
Fabio Skilnik :: GMATH method creator ( Math for the GMAT)
English-speakers :: https://www.gmath.net
Portuguese-speakers :: https://www.gmath.com.br