Last visit was: 31 Aug 2026, 21:42 It is currently 31 Aug 2026, 21:42
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
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 31 Aug 2026
Posts: 113,036
Own Kudos:
838,232
 [5]
Given Kudos: 111,233
Products:
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 113,036
Kudos: 838,232
 [5]
Kudos
Add Kudos
5
Bookmarks
Bookmark this Post
Most Helpful Reply
User avatar
tgsankar10
Joined: 27 Mar 2024
Last visit: 31 Aug 2026
Posts: 281
Own Kudos:
407
 [5]
Given Kudos: 85
Location: India
Posts: 281
Kudos: 407
 [5]
4
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
General Discussion
User avatar
Krunaal
User avatar
Tuck School Moderator
Joined: 15 Feb 2021
Last visit: 24 Jul 2026
Posts: 850
Own Kudos:
965
 [4]
Given Kudos: 252
Status:Under the Square and Compass
Location: India
GMAT Focus 1: 755 Q90 V90 DI82
GPA: 5.78
WE:Marketing (Consulting)
Products:
GMAT Focus 1: 755 Q90 V90 DI82
Posts: 850
Kudos: 965
 [4]
4
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
Bismuth83
User avatar
DI Forum Moderator
Joined: 15 Sep 2024
Last visit: 01 Aug 2025
Posts: 708
Own Kudos:
3,600
 [2]
Given Kudos: 441
Expert
Expert reply
Posts: 708
Kudos: 3,600
 [2]
2
Kudos
Add Kudos
Bookmarks
Bookmark this Post
1. We are asked to find the difference between 2 irrational fractions.

2. To do this, it's best to make them have a common denominator.

3. \(\sqrt{\frac{7}{5}} - \sqrt{\frac{5}{7}} = \frac{\sqrt{7}}{\sqrt{5}} * \frac{\sqrt{7}}{\sqrt{7}} - \frac{\sqrt{5}}{\sqrt{7}} * \frac{\sqrt{5}}{\sqrt{5}} = \frac{7}{\sqrt{35}} - \frac{5}{\sqrt{35}} = \frac{2}{\sqrt{35}}\)

4. So, our answer is \(\frac{2}{\sqrt{35}}\).
User avatar
Abdelaali91
Joined: 23 Oct 2016
Last visit: 10 Feb 2026
Posts: 92
Own Kudos:
114
 [1]
Given Kudos: 50
Posts: 92
Kudos: 114
 [1]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
√(7/5)-√(5/7) = √((7*7)/(5*7)) -√((5*5)/(7*5)) = 7/(√35)- 5/(√35) = 2/(√35)
User avatar
Ayeka
Joined: 26 May 2024
Last visit: 31 Aug 2026
Posts: 538
Own Kudos:
406
 [1]
Given Kudos: 168
Location: India
Schools: ISB
GPA: 4.2
Products:
Schools: ISB
Posts: 538
Kudos: 406
 [1]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
(7/5)^1/2-(5/7)^1/2
Taking LCM
[(7^1/2)*(7^1/2)-(5^1/2)*(5^1/2)]/(35^1/2)
(7-5)/(35^1/2)
2/(35^1/2)

ANSWER:A

Posted from my mobile device
User avatar
prantorboni
Joined: 28 Nov 2020
Last visit: 03 Nov 2025
Posts: 145
Own Kudos:
150
 [1]
Given Kudos: 221
Products:
Posts: 145
Kudos: 150
 [1]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
√(7/5)-√(5/7) = √((7*7)/(5*7)) -√((5*5)/(7*5)) = 7/(√35)- 5/(√35) = 2/(√35)

Answer: A.
User avatar
Chibvike
Joined: 18 Mar 2024
Last visit: 15 Apr 2026
Posts: 46
Own Kudos:
Given Kudos: 307
Posts: 46
Kudos: 10
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel, I thought the GMAT would typically not allow an answer with a radical in the denominator and as such we have to rationalize when we see a radical in the denominator
Moderator:
Math Expert
113036 posts