NEW HERE? LEARN MORE
closeclose
Last visit was: 23 Apr 2024, 14:27 It is currently 23 Apr 2024, 14:27
Decision Tracker
My Rewards
New posts
New comers' posts

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

(2+2 * sqrt (6) )/2

SORT BY:
Date
Kudos
Tags:
Difficulty: Sub 505 Levelx   Arithmeticx   Fractions/Ratios/Decimalsx   Rootsx                              
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92883
Own Kudos [?]: 618584 [16]
Given Kudos: 81563
Send PM
CAT Tests Forum Quiz Mode
(2+2 * sqrt (6) )/2 [#permalink] New post   19 Jan 2014, 23:55
4
Kudos
12
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

5% (low)

Question Stats:

92% (00:22) correct 8% (00:40) wrong based on 2107 sessions
Hide Show timer Statistics
\(\frac{2+2\sqrt{6}}{2}=\)

(A) \(\sqrt{6}\)
(B) \(2\sqrt{6}\)
(C) \(1+\sqrt{6}\)
(D) \(1+2\sqrt{6}\)
(E) \(2+\sqrt{6}\)
ShowHide Answer
Official Answer
C
Most Helpful Reply
User avatar
L
stne
SVP
SVP
Joined: 27 May 2012
Posts: 1680
Own Kudos [?]: 1420 [5]
Given Kudos: 632
Send PM
Re: (2+2 * sqrt (6) )/2 [#permalink] New post   23 Jan 2014, 06:41
5
Kudos
Bunuel wrote:
\(\frac{2+2\sqrt{6}}{2}=\)

(A) \(\sqrt{6}\)
(B) \(2\sqrt{6}\)
(C) \(1+\sqrt{6}\)
(D) \(1+2\sqrt{6}\)
(E) \(2+\sqrt{6}\)



Take 2 common from Numerator , then cancel the 2 from Numerator and Denominator

\(\frac{2+2\sqrt{6}}{2}= \frac{2(1+\sqrt{6})}{2}=1+\sqrt{6}\)

Answer C
General Discussion
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92883
Own Kudos [?]: 618584 [0]
Given Kudos: 81563
Send PM
CAT Tests Forum Quiz Mode
Re: (2+2 * sqrt (6) )/2 [#permalink] New post   19 Jan 2014, 23:56
Expert Reply
SOLUTION

\(\frac{2+2\sqrt{6}}{2}=\)

(A) \(\sqrt{6}\)
(B) \(2\sqrt{6}\)
(C) \(1+\sqrt{6}\)
(D) \(1+2\sqrt{6}\)
(E) \(2+\sqrt{6}\)

\(\frac{2+2\sqrt{6}}{2}=1+\sqrt{6}\).

Answer: C.
User avatar
B
PerfectScores
Tutor
Joined: 20 Dec 2013
Posts: 104
Own Kudos [?]: 243 [3]
Given Kudos: 1
Send PM
Re: (2+2 * sqrt (6) )/2 [#permalink] New post   20 Jan 2014, 00:32
2
Kudos
1
Bookmarks
Expert Reply
(2 + 2(root)6)/2 = (2/2) + (2(root6)/2 = 1 + root 6 which is answer option C.
avatar
B
bharatdivvela
Intern
Intern
Joined: 17 Oct 2013
Posts: 37
Own Kudos [?]: 39 [1]
Given Kudos: 21
Schools: HEC Dec"18
GMAT Date: 02-04-2014
Send PM
Re: (2+2 * sqrt (6) )/2 [#permalink] New post   20 Jan 2014, 01:53
1
Kudos
Bunuel wrote:
The Official Guide For GMAT® Quantitative Review, 2ND Edition

\(\frac{2+2\sqrt{6}}{2}=\)

(A) \(\sqrt{6}\)
(B) \(2\sqrt{6}\)
(C) \(1+\sqrt{6}\)
(D) \(1+2\sqrt{6}\)
(E) \(2+\sqrt{6}\)

Problem Solving
Question: 50
Category: Arithmetic Operations on radical expressions
Page: 68
Difficulty: 600


GMAT Club is introducing a new project: The Official Guide For GMAT® Quantitative Review, 2ND Edition - Quantitative Questions Project

Each week we'll be posting several questions from The Official Guide For GMAT® Quantitative Review, 2ND Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution.

We'll be glad if you participate in development of this project:
1. Please provide your solutions to the questions;
2. Please vote for the best solutions by pressing Kudos button;
3. Please vote for the questions themselves by pressing Kudos button;
4. Please share your views on difficulty level of the questions, so that we have most precise evaluation.

Thank you!




\(\frac{2*(1+\sqrt{6})}{2}=1+\sqrt{6}\)
avatar
beatthegmat05
Intern
Intern
Joined: 13 Feb 2013
Posts: 19
Own Kudos [?]: 31 [1]
Given Kudos: 3
Location: United States
Concentration: Finance, General Management
Schools: Harvard '24
GMAT Date: 07-28-2014
GPA: 3.75
WE:Consulting (Computer Software)
Send PM
GMAT ToolKit User
Re: (2+2 * sqrt (6) )/2 [#permalink] New post   20 Jan 2014, 20:10
1
Kudos
Since 2 is a common factor in numerator and denominator , so taking 2 from each component of numerator and cancelling it with denominator.
(2+2*6^1/2)/2
=[2(1+6^1/2)]/2
=(2/2)(1+6^1/2)
=1+6^1/2

So the answer is (C)
User avatar
nutshell
Manager
Manager
Joined: 21 Mar 2011
Status:GMATting
Posts: 96
Own Kudos [?]: 279 [1]
Given Kudos: 104
Concentration: Strategy, Technology
GMAT 1: 590 Q45 V27
Send PM
GMAT ToolKit User
Re: (2+2 * sqrt (6) )/2 [#permalink] New post   20 Jan 2014, 21:23
1
Kudos
Taking the common number 2 from numerator gives us the result 1+\sqrt{6}; {2 gets canceled out}

Ans is (C)
avatar
modernx
Intern
Intern
Joined: 08 Aug 2017
Posts: 3
Own Kudos [?]: 0 [0]
Given Kudos: 98
Send PM
Re: (2+2 * sqrt (6) )/2 [#permalink] New post   18 Oct 2017, 12:43
Can anyone explain to me why this is incorrect?

1) multiple both sides of expression by 2
2) subtracting 2 from both sides
3) leaves you with 2squareroot6

Thanks
User avatar
L
generis
Senior SC Moderator
Joined: 22 May 2016
Posts: 5330
Own Kudos [?]: 35483 [2]
Given Kudos: 9464
Send PM
CAT Tests
Re: (2+2 * sqrt (6) )/2 [#permalink] New post   18 Oct 2017, 15:29
2
Kudos
Expert Reply
Bunuel wrote:

\(\frac{2+2\sqrt{6}}{2}=\)

(A) \(\sqrt{6}\)
(B) \(2\sqrt{6}\)
(C) \(1+\sqrt{6}\)
(D) \(1+2\sqrt{6}\)
(E) \(2+\sqrt{6}\)
Quote:

modernx wrote:
Can anyone explain to me why this is incorrect?

1) multiple both sides of expression by 2
2) subtracting 2 from both sides
3) leaves you with 2squareroot6

Thanks

modernx , I think you must have assumed that RHS of equation = 1. It doesn't say that. So the best we can do is to simplify the fraction.

Your math, I think:

\(\frac{2+2\sqrt{6}}{2}=\)

\(\frac{2+2\sqrt{6}}{2} = 1\) (NO) -
Multiply by 2 to clear the fraction

\(2+2\sqrt{6} = 2\)
Subtract 2 from both

\(2\sqrt{6} = 0\) (NO)

Look at your statement #1. . . "both sides of the equation." There is not a right hand side value. . . It's easy to do when you are in a hurry or tired.

You cannot assume that the right hand side equals one. Hope that helps. :-)
avatar
modernx
Intern
Intern
Joined: 08 Aug 2017
Posts: 3
Own Kudos [?]: 0 [0]
Given Kudos: 98
Send PM
Re: (2+2 * sqrt (6) )/2 [#permalink] New post   18 Oct 2017, 15:39
modernx wrote:
Can anyone explain to me why this is incorrect?

1) multiple both sides of expression by 2
2) subtracting 2 from both sides
3) leaves you with 2squareroot6

Thanks
[/quote][/quote]
, I think you must have assumed that RHS of equation = 1. It doesn't say that. So the best we can do is to simplify the fraction.

Your math, I think:

\(\frac{2+2\sqrt{6}}{2}=\)

\(\frac{2+2\sqrt{6}}{2} = 1\) (NO) -
Multiply by 2 to clear the fraction

\(2+2\sqrt{6} = 2\)
Subtract 2 from both

\(2\sqrt{6} = 0\) (NO)

Look at your statement #1. . . "both sides of the equation." There is not a right hand side value. . . It's easy to do when you are in a hurry or tired.

You cannot assume that the right hand side equals one. Hope that helps. :-)[/quote]

Thanks for the clear explanation :)
User avatar
L
ScottTargetTestPrep
Target Test Prep Representative
Joined: 14 Oct 2015
Status:Founder & CEO
Affiliations: Target Test Prep
Posts: 18753
Own Kudos [?]: 22041 [1]
Given Kudos: 283
Location: United States (CA)
Send PM
Re: (2+2 * sqrt (6) )/2 [#permalink] New post   24 Oct 2017, 06:11
1
Kudos
Expert Reply
Quote:

\(\frac{2+2\sqrt{6}}{2}=\)

(A) \(\sqrt{6}\)
(B) \(2\sqrt{6}\)
(C) \(1+\sqrt{6}\)
(D) \(1+2\sqrt{6}\)
(E) \(2+\sqrt{6}\)


Distributing the 2 in the denominator, we have:

2/2 + (2√6)/2 = 1 + √6

Answer: C
User avatar
B
shinichikudo
Intern
Intern
Joined: 14 Mar 2018
Posts: 49
Own Kudos [?]: 17 [1]
Given Kudos: 388
GPA: 2.99
Send PM
Re: (2+2 * sqrt (6) )/2 [#permalink] New post   29 Jan 2019, 15:38
1
Kudos
Who cannot solve this question should stay at home... lol
User avatar
L
BrentGMATPrepNow
GMAT Club Legend
GMAT Club Legend
Joined: 12 Sep 2015
Posts: 6821
Own Kudos [?]: 29893 [0]
Given Kudos: 799
Location: Canada
Send PM
Re: (2+2 * sqrt (6) )/2 [#permalink] New post   17 Jun 2019, 13:06
Expert Reply
Top Contributor
Bunuel wrote:
The Official Guide For GMAT® Quantitative Review, 2ND Edition

\(\frac{2+2\sqrt{6}}{2}=\)

(A) \(\sqrt{6}\)
(B) \(2\sqrt{6}\)
(C) \(1+\sqrt{6}\)
(D) \(1+2\sqrt{6}\)
(E) \(2+\sqrt{6}\)


Here's the long solution so that students can see exactly what's happening algebraically.

\(\frac{2+2\sqrt{6}}{2}=\frac{2(1+\sqrt{6})}{2}\)

\(=\frac{2}{2} \times \frac{1+\sqrt{6}}{1}\)

\(=1 \times \frac{1+\sqrt{6}}{1}\)

\(=1+\sqrt{6}\)

Answer: C

Cheers,
Brent
User avatar
B
harshitverma14
Intern
Intern
Joined: 01 May 2020
Posts: 18
Own Kudos [?]: 3 [0]
Given Kudos: 10
Send PM
Re: (2+2 * sqrt (6) )/2 [#permalink] New post   11 Jul 2020, 12:42
Let’s take √ 6 = a

Now the equation is = ( 2 + 2a )/2

Separating the terms;

2/2 + 2a/2 = 1 + a
But a = √6

Thus option C, which is 1 + √6

Posted from my mobile device
User avatar
L
MathRevolution
Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 10161
Own Kudos [?]: 16592 [0]
Given Kudos: 4
GMAT 1: 760 Q51 V42
GPA: 3.82
Send PM
Re: (2+2 * sqrt (6) )/2 [#permalink] New post   15 Jul 2021, 06:27
Expert Reply
Take '2' common from the numerator and cancel '2' from the denominator.

We will get \(1 + \sqrt {6}\)

Answer C
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 32627
Own Kudos [?]: 821 [0]
Given Kudos: 0
Send PM
Re: (2+2 * sqrt (6) )/2 [#permalink] New post   25 Mar 2023, 16:31
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.
GMAT Club Bot
gmatclubot
Re: (2+2 * sqrt (6) )/2 [#permalink]
25 Mar 2023, 16:31
Moderators:
Bunuel
Math Expert
92883 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions