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(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∛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
First, simplify the expression inside the parentheses.lucas211 wrote:Hello BTG
Would appreciate a little help on the following:
Thank you in advance
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
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?
