 It is currently 27 Jun 2019, 00:00 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

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. If a and b are integers and (3√a*√b)^6 = 500, then a + b cou  Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:
Senior Manager Joined: 20 May 2014
Posts: 282
Followers: 18

Kudos [?]: 50 , given: 220

If a and b are integers and (3√a*√b)^6 = 500, then a + b cou [#permalink] 00:00

Question Stats: 50% (00:45) correct 50% (00:01) wrong based on 2 sessions
If a and b are integers and $$(\sqrt{a}*\sqrt{b})^6 = 500$$, then a + b could equal

A. 2
B. 3
C. 4
D. 5
E. 6

Kudos for correct solution.
[Reveal] Spoiler: OA Director Joined: 20 Apr 2016
Posts: 924
WE: Engineering (Energy and Utilities)
Followers: 12

Kudos [?]: 687  , given: 149

Re: If a and b are integers and (3√a*√b)^6 = 500, then a + b cou [#permalink]
1
KUDOS
Bunuel wrote:
If a and b are integers and $$(\sqrt{a}*\sqrt{b})^6 = 500$$, then a + b could equal

A. 2
B. 3
C. 4
D. 5
E. 6

From the above equation we get,

$$[(a^{1/3}) X (b^{1/2})]^6 = 500$$

or$$a^2 X b^3 = 5^3 X 2^2$$

Thus we can write as , a= 2 and b = 5.

But a+b = 7 that is not in the option. However a could be = 2 or -2 (since square of any negative number is positive)

that is $$2^2 = (-2)^2$$

Now when a= -2 and b= 5, we have = -2 + 5 =3 . Hence option B
_________________

If you found this post useful, please let me know by pressing the Kudos Button

Rules for Posting https://greprepclub.com/forum/rules-for ... -1083.html Re: If a and b are integers and (3√a*√b)^6 = 500, then a + b cou   [#permalink] 01 Dec 2017, 21:40
Display posts from previous: Sort by

If a and b are integers and (3√a*√b)^6 = 500, then a + b cou  Question banks Downloads My Bookmarks Reviews Important topics Powered by phpBB © phpBB Group Kindly note that the GRE® test is a registered trademark of the Educational Testing Service®, and this site has neither been reviewed nor endorsed by ETS®.