Last visit was: 15 Jul 2024, 13:48 It is currently 15 Jul 2024, 13:48
Toolkit
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^(1/2)=b, what is the value of integer b?

SORT BY:
Tags:
Show Tags
Hide Tags
RC & DI Moderator
Joined: 02 Aug 2009
Status:Math and DI Expert
Posts: 11473
Own Kudos [?]: 34343 [15]
Given Kudos: 322
Math Expert
Joined: 02 Sep 2009
Posts: 94354
Own Kudos [?]: 641113 [6]
Given Kudos: 85011
General Discussion
VP
Joined: 28 Jul 2016
Posts: 1199
Own Kudos [?]: 1751 [0]
Given Kudos: 67
Location: India
Concentration: Finance, Human Resources
Schools: ISB '18 (D)
GPA: 3.97
WE:Project Management (Investment Banking)
GMAT Club Legend
Joined: 18 Aug 2017
Posts: 7972
Own Kudos [?]: 4216 [0]
Given Kudos: 243
Location: India
Concentration: Sustainability, Marketing
GMAT Focus 1:
545 Q79 V79 DI73
GPA: 4
WE:Marketing (Energy and Utilities)
Re: If a^(1/2)=b, what is the value of integer b? [#permalink]
chetan2u wrote:
If $$\sqrt{a}=b$$, what is the value of integer b?
(1) b=|2|
(2) a+b>0

given
$$\sqrt{a}=b$$
a=b^2
#1
b=|2|
lbl=√b^2
with b= 2 the value of √b^2 = 2 ; sufficient
#2
a+b>0
√b+b>0
√b(1+√b)=0
√b=0 or √b=-1
insufficeint
IMO A
Intern
Joined: 29 Apr 2018
Posts: 17
Own Kudos [?]: 11 [0]
Given Kudos: 13
Location: India
Schools: ISB'22
If a^(1/2)=b, what is the value of integer b? [#permalink]
globaldesi wrote:
1) Stmt 1: given |b| = 2
and $$a^(1/2)=b$$
$$a^(1/2)$$ can not be negative hence b has to be postive thus B = 2
sufficient
2) a+b>0
this gives no information about the sum total
only information is a and b , both are positive
Infsufficient

square root of a natural number can be a negative as well as positive number. the equivalent value is square root always comes in pairs. sq. rt of 4 is 2,-2. because 2*2 = -2*-2 = 4.

Then how can A be sufficient.

is this again a GMAT World only situation?
Tutor
Joined: 16 Oct 2010
Posts: 15110
Own Kudos [?]: 66650 [1]
Given Kudos: 436
Location: Pune, India
Re: If a^(1/2)=b, what is the value of integer b? [#permalink]
1
Bookmarks
MaryKaaviya wrote:
globaldesi wrote:
1) Stmt 1: given |b| = 2
and $$a^(1/2)=b$$
$$a^(1/2)$$ can not be negative hence b has to be postive thus B = 2
sufficient
2) a+b>0
this gives no information about the sum total
only information is a and b , both are positive
Infsufficient

square root of a natural number can be a negative as well as positive number. the equivalent value is square root always comes in pairs. sq. rt of 4 is 2,-2. because 2*2 = -2*-2 = 4.

Then how can A be sufficient.

is this again a GMAT World only situation?

Check this link for more such concepts:
Non-Human User
Joined: 09 Sep 2013
Posts: 33980
Own Kudos [?]: 851 [0]
Given Kudos: 0
Re: If a^(1/2)=b, what is the value of integer b? [#permalink]
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
Re: If a^(1/2)=b, what is the value of integer b? [#permalink]
Moderator:
Math Expert
94354 posts