Last visit was: 23 Apr 2026, 22:26 It is currently 23 Apr 2026, 22:26
Close
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Close
Request Expert Reply
Confirm Cancel
User avatar
ashkrs
Joined: 08 Jun 2007
Last visit: 21 Feb 2019
Posts: 282
Own Kudos:
GMAT 1: 680 Q48 V35
Posts: 282
Kudos: 345
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
walker
Joined: 17 Nov 2007
Last visit: 25 May 2025
Posts: 2,396
Own Kudos:
Given Kudos: 362
Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
GMAT 1: 750 Q50 V40
Expert
Expert reply
Schools: Chicago (Booth) - Class of 2011
GMAT 1: 750 Q50 V40
Posts: 2,396
Kudos: 10,847
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
rajpdsouza
Joined: 26 Jul 2007
Last visit: 22 Oct 2008
Posts: 334
Own Kudos:
Posts: 334
Kudos: 7
Kudos
Add Kudos
Bookmarks
Bookmark this Post
avatar
pmenon
Joined: 28 Dec 2005
Last visit: 01 Jul 2009
Posts: 691
Own Kudos:
Given Kudos: 2
Posts: 691
Kudos: 620
Kudos
Add Kudos
Bookmarks
Bookmark this Post
walker
A

√(x²+1) + √(x²+2) > 1+1.41=2.41>2 at any x. Therefore, there are no roots


where did the '1' on the RHS of the equation come from ?
User avatar
walker
Joined: 17 Nov 2007
Last visit: 25 May 2025
Posts: 2,396
Own Kudos:
Given Kudos: 362
Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
GMAT 1: 750 Q50 V40
Expert
Expert reply
Schools: Chicago (Booth) - Class of 2011
GMAT 1: 750 Q50 V40
Posts: 2,396
Kudos: 10,847
Kudos
Add Kudos
Bookmarks
Bookmark this Post
pmenon
walker
A

√(x²+1) + √(x²+2) > 1+1.41=2.41>2 at any x. Therefore, there are no roots

where did the '1' on the RHS of the equation come from ?


x² e [0,+∞) ==> min(x²)=0
min (x²+1) =1
min (x²+2) =2
User avatar
LM
Joined: 03 Sep 2006
Last visit: 04 Apr 2015
Posts: 444
Own Kudos:
Given Kudos: 33
Posts: 444
Kudos: 7,891
Kudos
Add Kudos
Bookmarks
Bookmark this Post
ashkrs
How many roots does the following equation have?
sqrt(x^2 + 1) + sqrt(x^2 + 2) = 2

a) 0
b) 1
c) 2
d) 3
e) 4


This does not seem to be the GMAT question? Could you please specify the source of this question?



Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Problem Solving (PS) Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
Moderator:
Math Expert
109795 posts