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GmaT Practice Exam 6 -

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by GMATGuruNY » Sun Jun 26, 2016 4:38 am
Which of the following is equal to (2∛3/√2)³?

A) 3√2/2
B) 3√2
C) 6√2
D) 12
E) 12√2
(2∛3/√2)³

= (2/√2)³(∛3)³

= (√2)³(3)

= (2√2)(3)

= 6√2.

The correct answer is C.
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by OptimusPrep » Sun Jun 26, 2016 10:12 am
lucas211 wrote:Hello BTG

Would appreciate a little help on the following:

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

A) 3√2/2
B) 3√2
C) 6√2
D) 12
E) 12√2

Thank you in advance
(2∛3/√2)³ = [2*3^(1/3) / 2^(1/2)]^3 = 2^3*3 / 2^(3/2) = 3*2^3/2 = 6*2^(1/2) = 6√2

Correct Option: C
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by 800_or_bust » Sun Jun 26, 2016 10:30 am
lucas211 wrote:Hello BTG

Would appreciate a little help on the following:

Thank you in advance
First, simplify the expression inside the parentheses.

(2 /√2) = √2.

So you can rewrite the prompt as (√2∛3)³. Then (√2)³(∛3)³ = (2√2)(3) = 6√2.
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by prata » Wed Aug 03, 2016 6:01 am
Can this not be confused for 2^3 instead of 2 * 3^1/3? I got confused in the test I took earlier in the day. Can we expect these kind of close numbers in actual GMAT?
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by [email protected] » Wed Aug 03, 2016 8:02 am
Hi prata,

Formatting issues, like the type that you're describing, are not likely to happen on the Official GMAT. However, the question writers do tend to 'protect' their questions against 'interpretational bias' - if you interpret a question a certain way, and your answer to the given question is NOT among the 5 choices, then your interpretation is not correct. In that way, you can potentially figure out what you mis-interpreted and still get to the correct answer.

As an example, given the interpretation of the prompt that you described, you would have come up with the following answer:

(2^8)(3)(root3)/(root2)

Since that answer isn't among the choices, something's wrong with your interpretation of the calculation.

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by Jeff@TargetTestPrep » Wed Aug 03, 2016 8:51 am
Which of the following is equal to (2∛3/√2)³?

A) 3√2/2
B) 3√2
C) 6√2
D) 12
E) 12√2
We can simplify the expression inside the parentheses first.

Recall that x/√x = √x, so 2/√2 = √2 and hence 2 x (^3√3)/√2 = √2 x (^3√3)

Now we raise each term to the 3rd power:

[√2 x (^3√3)]^3 = (√2)^3 x (^3√3)^3 = 2√2 x 3 = 6√2

(Note: When we raise each factor to the 3rd power, we use the fact that:

(√x)^3 = x√x and (^3√x)^3 = x) .

Answer: C

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by Matt@VeritasPrep » Thu Aug 04, 2016 8:26 pm
prata wrote:Can this not be confused for 2^3 instead of 2 * 3^1/3? I got confused in the test I took earlier in the day. Can we expect these kind of close numbers in actual GMAT?
It certainly could! The spacing and resolution should better on the GMAT, but if not, in a pinch, try both approaches, trying the more sensible-seeming one first. (Since we're cubing the equation, it seems likely that we're cubing a cube root than cubing a cube and two square roots.) There should only be an answer for one of the two interpretations, so you'd be OK, if a little pressed for time.
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