Last visit was: 20 Apr 2026, 21:08 It is currently 20 Apr 2026, 21:08
Home
Messages
Tests
Schools
Events
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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel
Back to Forum
Create Topic
   1   2   3   4   5 
655-705 (Hard)|   Algebra|         
User avatar
adityaprateek15
User avatar
Joined: 26 May 2023
Last visit: 18 Apr 2026
Posts: 346
Own Kudos:
170
Given Kudos: 323
Location: India
Schools: Ross '26 Tepper '26 McCombs '26
GPA: 2.7
Products:
Forum Quiz
Schools: Ross '26 Tepper '26 McCombs '26
Posts: 346
Kudos: 170
GMAT Club Olympics 2025 (Day 9): If the positive difference of the 11 Jul 2025, 08:59
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Hello bb, Bunuel Could you please validate this and reward kudos if this qualifies? Thanks
adityaprateek15
Let the two integers be a and b
Given,
|√a - √b| = √15-10√2
Squaring both sides
a + b - 2√ab = 15 - 10√2
Comparing LHS with RHS, we get:
2√ab = 10√2
√ab = 5√2
√ab = √25*2
√ab = √50 and
a + b = 15
which means
a=10 and b=5
or a=5 and b=10
Q: (a-b)^2
(10-5)^2 or (5-10)^2
5^2 or (-5)^2
Both equals 25.

Option C

Bunuel
If the positive difference of the square roots of two integers is \(\sqrt{15 - 10\sqrt{2}}\), what is the square of the difference between these two integers?

A. 9
B. 16
C. 25
D. 100
E. 225


 


This question was provided by GMAT Club
for the GMAT Club Olympics Competition

Win over $30,000 in prizes such as Courses, Tests, Private Tutoring, and more

 

Show more
User avatar
svsivakrishna
User avatar
Joined: 12 May 2024
Last visit: 31 Jan 2026
Posts: 78
Own Kudos:
33
Given Kudos: 180
Posts: 78
Kudos: 33
GMAT Club Olympics 2025 (Day 9): If the positive difference of the 11 Jul 2025, 09:39
Kudos
Add Kudos
Bookmarks
Bookmark this Post
The question created lot of confusion as the first square root shown before 15 is not extending for the complete value.
It would have been better if it were representated as sqrt (15-10*sqrt(2))
Since there was no paranthesis, I wasted a lot of time trying to solve the question.
Bunuel
If the positive difference of the square roots of two integers is \(\sqrt{15 - 10\sqrt{2}}\), what is the square of the difference between these two integers?

A. 9
B. 16
C. 25
D. 100
E. 225


 


This question was provided by GMAT Club
for the GMAT Club Olympics Competition

Win over $30,000 in prizes such as Courses, Tests, Private Tutoring, and more

 

Show more
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 20 Apr 2026
Posts: 109,701
Own Kudos:
810,297
Given Kudos: 105,779
Products:
GMAT Club Tests Forum Quiz
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 109,701
Kudos: 810,297
GMAT Club Olympics 2025 (Day 9): If the positive difference of the 11 Jul 2025, 14:47
Kudos
Add Kudos
Bookmarks
Bookmark this Post
svsivakrishna
The question created lot of confusion as the first square root shown before 15 is not extending for the complete value.
It would have been better if it were representated as sqrt (15-10*sqrt(2))
Since there was no paranthesis, I wasted a lot of time trying to solve the question.
Bunuel
If the positive difference of the square roots of two integers is \(\sqrt{15 - 10\sqrt{2}}\), what is the square of the difference between these two integers?

A. 9
B. 16
C. 25
D. 100
E. 225


 


This question was provided by GMAT Club
for the GMAT Club Olympics Competition

Win over $30,000 in prizes such as Courses, Tests, Private Tutoring, and more

 

Show more

It covers the entire expression under it:



Does it show something else on your screen?
Show Spoiler
Attachment:
GMAT-Club-Forum-s7vf9kq9.png
GMAT-Club-Forum-s7vf9kq9.png [ 8.01 KiB | Viewed 284 times ]
User avatar
svsivakrishna
User avatar
Joined: 12 May 2024
Last visit: 31 Jan 2026
Posts: 78
Own Kudos:
33
Given Kudos: 180
Posts: 78
Kudos: 33
GMAT Club Olympics 2025 (Day 9): If the positive difference of the 11 Jul 2025, 21:50
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Hi

Bunuel
Thank you for the reply.

I am unable to attach any file in the reply due to permission restrictions.

Please let me know if there is any way to send you the screenshot of the question display at my end.

The square root is showing only for the value 15. ( Brave browser, Mac OS)
Bunuel
svsivakrishna
The question created lot of confusion as the first square root shown before 15 is not extending for the complete value.
It would have been better if it were representated as sqrt (15-10*sqrt(2))
Since there was no paranthesis, I wasted a lot of time trying to solve the question.
Bunuel
If the positive difference of the square roots of two integers is \(\sqrt{15 - 10\sqrt{2}}\), what is the square of the difference between these two integers?

A. 9
B. 16
C. 25
D. 100
E. 225


 


This question was provided by GMAT Club
for the GMAT Club Olympics Competition

Win over $30,000 in prizes such as Courses, Tests, Private Tutoring, and more

 


It covers the entire expression under it:



Does it show something else on your screen?
Show Spoiler
Attachment:
GMAT-Club-Forum-s7vf9kq9.png
Show more
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 20 Apr 2026
Posts: 109,701
Own Kudos:
810,297
Given Kudos: 105,779
Products:
GMAT Club Tests Forum Quiz
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 109,701
Kudos: 810,297
GMAT Club Olympics 2025 (Day 9): If the positive difference of the 11 Jul 2025, 23:07
Kudos
Add Kudos
Bookmarks
Bookmark this Post
svsivakrishna
Hi

Bunuel
Thank you for the reply.

I am unable to attach any file in the reply due to permission restrictions.

Please let me know if there is any way to send you the screenshot of the question display at my end.


Show more

You can pm me the file.
   1   2   3   4   5 
Moderators:
Bunuel
Math Expert
109701 posts
Krunaal
Tuck School Moderator
853 posts