(2∛3/√2)³Which 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/√2)³(∛3)³
= (√2)³(3)
= (2√2)(3)
= 6√2.
The correct answer is C.
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GmaT Practice Exam 6 -
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= (2/√2)³(∛3)³
= (√2)³(3)
= (2√2)(3)
= 6√2.
The correct answer is C.
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(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√2lucas211 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
Correct Option: C
First, simplify the expression inside the parentheses.lucas211 wrote:Hello BTG
Would appreciate a little help on the following:
Thank you in advance
(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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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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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.
GMAT assassins aren't born, they're made,
Rich
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.
GMAT assassins aren't born, they're made,
Rich
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Jeff@TargetTestPrep
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We can simplify the expression inside the parentheses first.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
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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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.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?
