NEW HERE? LEARN MORE
closeclose
Last visit was: 24 Apr 2024, 18:15 It is currently 24 Apr 2024, 18:15
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

Which of the following is equal to (2^3√3/√2)^3?

SORT BY:
Date
Kudos
   1   2 
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
P
mvictor
Board of Directors
Joined: 17 Jul 2014
Posts: 2163
Own Kudos [?]: 1180 [0]
Given Kudos: 236
Location: United States (IL)
Concentration: Finance, Economics
Schools: Stanford '20 (WD)
GMAT 1: 650 Q49 V30
GPA: 3.92
WE:General Management (Transportation)
Send PM
GMAT ToolKit User Reviews Badge
Re: Which of the following is equal to (2^3√3/√2)^3? [#permalink] New post   09 Sep 2016, 07:31
i stopped for a second to check whether 12/sqrt(2) is the answer..but it was not..so I multiplied everything by sqrt(2)/sqrt(2) so that to eliminate the fraction (basically multiplying by 1!) and got 6*sqrt(2)
avatar
S
Bowtye
Manager
Manager
Joined: 13 Nov 2014
Posts: 94
Own Kudos [?]: 113 [1]
Given Kudos: 28
GMAT 1: 740 Q50 V40
Send PM
Reviews Badge
Re: Which of the following is equal to (2^3√3/√2)^3? [#permalink] New post   29 Jan 2017, 13:46
1
Kudos
crowle35 wrote:
IMO - the wording on this problem is ambiguous. How am I supposed to know it is 2(CUBERT(3)) instead of 2^3(Sqrt(3))???



I agree but 2^3 version does not have a solution below. I wasted time thinking that it was 2^3 just to realize that was not the actual question. Pretty poor question if you ask me.
avatar
S
Bowtye
Manager
Manager
Joined: 13 Nov 2014
Posts: 94
Own Kudos [?]: 113 [0]
Given Kudos: 28
GMAT 1: 740 Q50 V40
Send PM
Reviews Badge
Re: Which of the following is equal to (2^3√3/√2)^3? [#permalink] New post   29 Jan 2017, 13:52
Wofford09 wrote:
crowle35 wrote:
IMO - the wording on this problem is ambiguous. How am I supposed to know it is 2(CUBERT(3)) instead of 2^3(Sqrt(3))???



I agree but 2^3 version does not have a solution below. I wasted time thinking that it was 2^3 just to realize that was not the actual question. Pretty poor question if you ask me.


As far as the questions goes

2^3/ 2^(3/2) = 2^(6/2)/ 2^(3/2) and for exponents you subtract so 6/2 - 3/2 = 3/2 or 2^(3/2) which equals 2\sqrt{2}. Multiply that by 3 (for the 3 cubed root 3 piece) and you arrive at answer C
avatar
B
ajay2121988
Manager
Manager
Joined: 08 Feb 2016
Posts: 53
Own Kudos [?]: 60 [0]
Given Kudos: 25
Location: India
Concentration: Technology
Schools: AGSM '20 (A)
GMAT 1: 650 Q49 V30
GPA: 4
Send PM
Re: Which of the following is equal to (2^3√3/√2)^3? [#permalink] New post   14 Feb 2017, 06:38
crowle35 wrote:
IMO - the wording on this problem is ambiguous. How am I supposed to know it is 2(CUBERT(3)) instead of 2^3(Sqrt(3))???


I got into the same dilemma in my mock and ultimately guessed wrongly.
I also thought in the numerator it is (2 raised to the power 3), whereas it is (2 * cube-root of 3)

I guess a better way to approach this problem or any such ambiguous problem on the exam would be to change the approach of reading the question once I find out that my calculation is not matching any of the answer choices. After spending 1 min. on the problem, if I am not getting anywhere around, I must change my way of reading the question OR the way of solving. This is a lesson for me.
User avatar
L
ScottTargetTestPrep
Target Test Prep Representative
Joined: 14 Oct 2015
Status:Founder & CEO
Affiliations: Target Test Prep
Posts: 18756
Own Kudos [?]: 22049 [4]
Given Kudos: 283
Location: United States (CA)
Send PM
Re: Which of the following is equal to (2^3√3/√2)^3? [#permalink] New post   15 Feb 2017, 16:13
3
Kudos
1
Bookmarks
Expert Reply
bgbeidas wrote:
Which of the following is equal to \((\frac{2*\sqrt[3]{3}}{\sqrt{2}})^3\)?

A) 3√2/2
B) 3√2
C) 6√2
D) 12
E) 12√2


Let’s simplify the expression [(2 * ^3√3)/√2]^3.

Distributing the exponent of 3, we have:

(2^3)(^3√3)^3/(√2)^3

(8 x 3)/(2√2) = 12/√2

We must rationalize the denominator. Multiplying 12/√2 by √2/√2, we have:

12√2/2 = 6√2

Answer: C
User avatar
L
Abhishek009
Board of Directors
Joined: 11 Jun 2011
Status:QA & VA Forum Moderator
Posts: 6072
Own Kudos [?]: 4689 [2]
Given Kudos: 463
Location: India
GPA: 3.5
WE:Business Development (Commercial Banking)
Send PM
GMAT ToolKit User
Re: Which of the following is equal to (2^3√3/√2)^3? [#permalink] New post   16 Feb 2017, 12:16
1
Kudos
1
Bookmarks
bgbeidas wrote:
Which of the following is equal to \((\frac{2*\sqrt[3]{3}}{\sqrt{2}})^3\)?

A) 3√2/2
B) 3√2
C) 6√2
D) 12
E) 12√2


\(= \frac{2^3*3}{2\sqrt{2}}\)

\(= \frac{8*3}{2\sqrt{2}}\)

\(= \frac{12}{\sqrt{2}}\)

\(= \frac{12*√2}{2}\)

\(= 6√2\)

Thus, answer will be (C) \(6√2\)
avatar
B
Matth971
Intern
Intern
Joined: 16 Feb 2017
Posts: 3
Own Kudos [?]: 0 [0]
Given Kudos: 12
Send PM
Re: Which of the following is equal to (2^3√3/√2)^3? [#permalink] New post   14 Jun 2017, 06:58
Abhishek009 wrote:
bgbeidas wrote:

=>\((\sqrt{2}*\sqrt[3]{3})^3\)
=> \(2\sqrt{2}*3 = 6\sqrt{2}\)
C

I understand how you got 3, and how you should gt 2\sqrt{2} at the bottom.
But the 2 in the top part, when I cube it I get 8, not sure where that disappears in your process.



I think u are clear with this part =>\((\sqrt{2}*\sqrt[3]{3})^3\)

=>\((\sqrt{2}*\sqrt[3]{3})^3\)

=> (\(2^{1/2}\) * \(3^{1/3}\))\(^{3}\)

=> \(2^{3/2}\)* \(3^{3/3}\)

=>\(2^1\)* \(2^{1/2}\)* \(3^1\) { Because \(\frac{3}{2}\) = \(1 \frac{1}{2}\) and \(\frac{3}{3}\) = 1 }

=> \(2^1\)* \(2^{1/2}\)* \(3^1\)

=> 2*\(\sqrt{2}\) * 3

=>6\(\sqrt{2}\)


Hope this helps !! :-D :-D


Thx for this perfect explanation :-D
User avatar
S
OreoShake
Manager
Manager
Joined: 23 Jan 2016
Posts: 139
Own Kudos [?]: 81 [2]
Given Kudos: 509
Location: India
GPA: 3.2
Send PM
GMAT ToolKit User
Re: Which of the following is equal to (2^3√3/√2)^3? [#permalink] New post   29 Jul 2017, 11:31
1
Kudos
1
Bookmarks
As with some others, I faced difficulty in recognizing the question because of the poor presentation by Gmat prep. I am quite annoyed and hope I dont encounter a question with such a horrid presentation in the actual exam.
avatar
B
niteshreddys89
Intern
Intern
Joined: 28 Mar 2017
Posts: 3
Own Kudos [?]: 1 [1]
Given Kudos: 14
Send PM
Re: Which of the following is equal to (2^3√3/√2)^3? [#permalink] New post   06 Sep 2017, 03:08
1
Kudos
crowle35 wrote:
IMO - the wording on this problem is ambiguous. How am I supposed to know it is 2(CUBERT(3)) instead of 2^3(Sqrt(3))???



THis same thing happened to me while I was taking my GMAT prep. The text seemed very ambiguous.
User avatar
G
testcracker
Manager
Manager
Joined: 24 Mar 2015
Status:love the club...
Posts: 220
Own Kudos [?]: 112 [0]
Given Kudos: 527
Send PM
Re: Which of the following is equal to (2^3√3/√2)^3? [#permalink] New post   30 Sep 2017, 08:00
bgbeidas wrote:
Which of the following is equal to \((\frac{2*\sqrt[3]{3}}{\sqrt{2}})^3\)?

A) 3√2/2
B) 3√2
C) 6√2
D) 12
E) 12√2


if the exponents are distributed, we get

(2^3 x 3)/ 2 x √2

= 24/ 2 x √2
= 12/ √2

now, so far I know, there is an unofficial rule in math that states that radical such as "√" cannot be in the denominator
so we have to rationalize it..
= (12 x √2)/ 2
= 6 x √2 (answer)

cheers through the kudos button if this helps
thanks 8-)
User avatar
B
bp2013
Intern
Intern
Joined: 07 May 2015
Posts: 30
Own Kudos [?]: 5 [1]
Given Kudos: 0
Schools: Booth PT '22 (D) Kellogg PT '22 (A)
Send PM
Re: Which of the following is equal to (2^3√3/√2)^3? [#permalink] New post   28 May 2018, 15:03
1
Kudos
ScottTargetTestPrep wrote:
bgbeidas wrote:
Which of the following is equal to \((\frac{2*\sqrt[3]{3}}{\sqrt{2}})^3\)?

A) 3√2/2
B) 3√2
C) 6√2
D) 12
E) 12√2


Let’s simplify the expression [(2 * ^3√3)/√2]^3.

Distributing the exponent of 3, we have:

(2^3)(^3√3)^3/(√2)^3

(8 x 3)/(2√2) = 12/√2

We must rationalize the denominator. Multiplying 12/√2 by √2/√2, we have:

12√2/2 = 6√2

Answer: C


Are we sure that it is indeed asking for 3rd root 3? I got this question today and it looks like 2^3 to me.. I took a screenshot to show the question.

I don't mean to bump an old topic but do I need to get my eyes checked?
Attachments

Screen Shot 2018-05-28 at 5.01.13 PM.png
Screen Shot 2018-05-28 at 5.01.13 PM.png [ 19.36 KiB | Viewed 6230 times ]

avatar
B
ramblers
Manager
Manager
Joined: 21 Aug 2017
Posts: 68
Own Kudos [?]: 36 [0]
Given Kudos: 38
Location: United States
Schools: Oxford"20 (A)
GMAT 1: 700 Q43 V42
Send PM
Re: Which of the following is equal to (2^3√3/√2)^3? [#permalink] New post   04 Jun 2018, 16:00
bp2013 wrote:
Are we sure that it is indeed asking for 3rd root 3? I got this question today and it looks like 2^3 to me.. I took a screenshot to show the question.

I don't mean to bump an old topic but do I need to get my eyes checked?


I got this question today as well. It is asking for 3rd root 3. It seems to be a typo / bad conversion to the website-based tests. The correct answer if it were 2^3 is not in the answer choices, and the correct answer according to the test is the one that would satisfy 3rd root 3.

Frustrating as hell, especially when you get it within the first 5 questions.
User avatar
L
ScottTargetTestPrep
Target Test Prep Representative
Joined: 14 Oct 2015
Status:Founder & CEO
Affiliations: Target Test Prep
Posts: 18756
Own Kudos [?]: 22049 [0]
Given Kudos: 283
Location: United States (CA)
Send PM
Re: Which of the following is equal to (2^3√3/√2)^3? [#permalink] New post   06 Jun 2018, 16:56
Expert Reply
bp2013 wrote:
ScottTargetTestPrep wrote:
bgbeidas wrote:
Which of the following is equal to \((\frac{2*\sqrt[3]{3}}{\sqrt{2}})^3\)?

A) 3√2/2
B) 3√2
C) 6√2
D) 12
E) 12√2


Let’s simplify the expression [(2 * ^3√3)/√2]^3.

Distributing the exponent of 3, we have:

(2^3)(^3√3)^3/(√2)^3

(8 x 3)/(2√2) = 12/√2

We must rationalize the denominator. Multiplying 12/√2 by √2/√2, we have:

12√2/2 = 6√2

Answer: C


Are we sure that it is indeed asking for 3rd root 3? I got this question today and it looks like 2^3 to me.. I took a screenshot to show the question.

I don't mean to bump an old topic but do I need to get my eyes checked?


By the screenshot it’s 2^3, but according to the answer choices, only ^3√3 makes sense since (2^3)^3 = 2^9 will produce an answer much bigger than any of the given choices. It’s perhaps a typo.

Solution:

(2)^3 = 8

(^3√3)^3 = 3

(√2)^3 = 2√2

So (8 x 3)/(2√2) = (24)/(2√2) = (12)/√2 * (√2/√2) = (12√2)/2 = 6√2

Answer: C
avatar
B
zanaik89
Manager
Manager
Joined: 19 Aug 2016
Posts: 56
Own Kudos [?]: 6 [0]
Given Kudos: 30
Send PM
Which of the following is equal to (2^3√3/√2)^3? [#permalink] New post   24 Jun 2018, 04:23
chetan2u wrote:
bgbeidas wrote:
Apologies in advance for the poor formatting, it's my first time posting a question on here.

Which of the following is equal to (2^3√3/√2)^3?

A) 3√2/2
B) 3√2
C) 6√2
D) 12
E) 12√2

If anyone looking to edit the question can't interpret the above please let me know.



Hi,

i believe the Q is meant to be..
\((\frac{2*\sqrt[3]{3}}{\sqrt{2}})^3\)
=>\((\sqrt{2}*\sqrt[3]{3})^3\)
=> \(2\sqrt{2}*3 = 6\sqrt{2}\)
C


Hi Chetan,

I got this question in gmat prep test 6..the way the question is shown on the prep exam is very different

I mean the question says [{2^3.sqrt of 3}/sqrt of 2]^3
User avatar
B
alphak3nny001
Intern
Intern
Joined: 03 Apr 2018
Posts: 33
Own Kudos [?]: 27 [0]
Given Kudos: 42
Concentration: Strategy, Leadership
Schools: Tepper '21 (A) INSEAD Jan '20 Booth '21 (I) Wharton '21 (D) Kellogg MMM '21 (I) Haas '21 (D) Ross '21 (WL)
GMAT 1: 750 Q50 V41
Send PM
Reviews Badge
Re: Which of the following is equal to (2^3√3/√2)^3? [#permalink] New post   26 Jun 2018, 16:03
bgbeidas wrote:
Which of the following is equal to \((\frac{2*\sqrt[3]{3}}{\sqrt{2}})^3\)?

A) 3√2/2
B) 3√2
C) 6√2
D) 12
E) 12√2



I got this question in the GMAT prep Exam pack II and wasted so much time on it. I read the numerator as 2^3. That 3 i actually for the cube root of 3.
Very confusing
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 32655
Own Kudos [?]: 821 [0]
Given Kudos: 0
Send PM
Re: Which of the following is equal to (2^33/2)^3? [#permalink] New post   24 Dec 2023, 03:41
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: Which of the following is equal to (2^33/2)^3? [#permalink]
24 Dec 2023, 03:41
   1   2 
Moderators:
Bunuel
Math Expert
92900 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