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

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Re: Which of the following is equal to (2^3√3/√2)^3? [#permalink] New post  09 Sep 2016, 06:31
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)
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Re: Which of the following is equal to (2^3√3/√2)^3? [#permalink] New post  29 Jan 2017, 12:46
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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.
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Re: Which of the following is equal to (2^3√3/√2)^3? [#permalink] New post  29 Jan 2017, 12:52
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
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Re: Which of the following is equal to (2^3√3/√2)^3? [#permalink] New post  14 Feb 2017, 05:38
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.
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Re: Which of the following is equal to (2^3√3/√2)^3? [#permalink] New post  15 Feb 2017, 15:13
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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
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Re: Which of the following is equal to (2^3√3/√2)^3? [#permalink] New post  16 Feb 2017, 11:16
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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) \(6√2\)
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Re: Which of the following is equal to (2^3√3/√2)^3? [#permalink] New post  14 Jun 2017, 05:58
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
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Re: Which of the following is equal to (2^3√3/√2)^3? [#permalink] New post  29 Jul 2017, 10:31
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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.
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Re: Which of the following is equal to (2^3√3/√2)^3? [#permalink] New post  06 Sep 2017, 02:08
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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.
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Re: Which of the following is equal to (2^3√3/√2)^3? [#permalink] New post  30 Sep 2017, 07:00
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-)
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Re: Which of the following is equal to (2^3√3/√2)^3? [#permalink] New post  28 May 2018, 14:03
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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?
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Re: Which of the following is equal to (2^3√3/√2)^3? [#permalink] New post  04 Jun 2018, 15:00
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.
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Re: Which of the following is equal to (2^3√3/√2)^3? [#permalink] New post  06 Jun 2018, 15:56
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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
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Which of the following is equal to (2^3√3/√2)^3? [#permalink] New post  24 Jun 2018, 03:23
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
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Re: Which of the following is equal to (2^3√3/√2)^3? [#permalink] New post  26 Jun 2018, 15:03
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
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