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sqrt of 64y^3(xy)^6

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Carcass
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sqrt of 64y^3(xy)^6 [#permalink] New post   08 Aug 2022, 10:42
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A
B
C
D

Question Stats:

61% (00:56) correct 38% (00:38) wrong based on 21 sessions

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Quantity A
Quantity B
3√64y3(xy)6
√16y2(xy)4



A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given

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C
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iASindia
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Re: sqrt of 64y^3(xy)^6 [#permalink] New post   09 Aug 2022, 03:01
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Carcass, Can you please review the question? The answer should be D. The simplification of the expressions is not the same. Though all values are positive, the values can still be between 0 and 1.
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sqrt of 64y^3(xy)^6 [#permalink] New post   09 Aug 2022, 04:06
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3√64y3(xy)6

64=4

y3=y3/3=y

(xy)6=(xy)6/3=(xy)2


√16y2(xy)4

16=4

y2=y

(xy)4=(xy)4/2=(xy)2

C is the answer
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Re: sqrt of 64y^3(xy)^6 [#permalink] New post   09 Aug 2022, 04:08
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I do not know why QB did not show up the square root. I fixed it.

Above also the solution
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Re: sqrt of 64y^3(xy)^6 [#permalink] New post   09 Aug 2022, 04:59
Carcass wrote:
I do not know why QB did not show up the square root. I fixed it.

Above also the solution


It works!! Thanks for the prompt response Carcass!
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Re: sqrt of 64y^3(xy)^6 [#permalink]
09 Aug 2022, 04:59
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