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# a is the product of 3 and the square root of 2, b is the product of 2

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Math Expert
Joined: 02 Sep 2009
Posts: 60646
a is the product of 3 and the square root of 2, b is the product of 2  [#permalink]

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31 Oct 2018, 01:02
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Difficulty:

55% (hard)

Question Stats:

66% (03:40) correct 34% (03:30) wrong based on 51 sessions

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a is the product of 3 and the square root of 2, b is the product of 2 and the square root of 3, and c is the product of 2 and the square root of 6. If x is the square of the sum of a and b, y is the product of 6 and the difference of 5 and c, and z is the product of 2 squared and 3 squared, what is xy/z ?

A. 1

B. 30−12√6

C. 36

D. 30+12√6

E. 64

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Joined: 02 Sep 2016
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Re: a is the product of 3 and the square root of 2, b is the product of 2  [#permalink]

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31 Oct 2018, 01:28
1
@brunuel : I think the question has a typo. we have to find xy/z which will give the answer as 1(A).
Math Expert
Joined: 02 Sep 2009
Posts: 60646
Re: a is the product of 3 and the square root of 2, b is the product of 2  [#permalink]

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31 Oct 2018, 01:34
veekoul wrote:
@brunuel : I think the question has a typo. we have to find xy/z which will give the answer as 1(A).

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Edited. Thank you.
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Re: a is the product of 3 and the square root of 2, b is the product of 2  [#permalink]

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03 Nov 2018, 00:42
If x is the square of the sum of a and b = (3√2+2√3)2=18+12+12√6=30+12√6(3√2+2√3)2=18+12+12√6=30+12√6
y is the product of 6 and the difference of 5 and c = 6*(5-2√6)=30-12√6
and z is the product of 2 squared and 3 squared, = 22∗32=3622∗32=36
what is xyz=(30+12√6)(30−12√6)36=302−122∗636=(900−864)/36=36/36=1
Re: a is the product of 3 and the square root of 2, b is the product of 2   [#permalink] 03 Nov 2018, 00:42
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