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If x and y are both positive then √72x^3y^16 =

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Joined: 02 Sep 2009
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If x and y are both positive then √72x^3y^16 =  [#permalink]

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New post 18 Oct 2018, 01:37
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

73% (01:34) correct 27% (01:45) wrong based on 100 sessions

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Director
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Joined: 19 Oct 2013
Posts: 525
Location: Kuwait
GPA: 3.2
WE: Engineering (Real Estate)
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Re: If x and y are both positive then √72x^3y^16 =  [#permalink]

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New post 18 Oct 2018, 09:38
1
Bunuel wrote:
If x and y are both positive then \(\sqrt{72x^3y^16} =\)


A. \(8xy^8\sqrt{2x}\)

B. \(6xy^4\sqrt{2x}\)

C. \(6xy^8\sqrt{2x}\)

D. \(6y^4\sqrt{8x}\)

E. \(9xy^8\sqrt{8x}\)


hi Bunuel I think the \(y^1\)should be y^16 there seems to be a typo

\(72 = 2^3 * 3^2\)

Once rearranged it can be \(2^2 * 2^1 * 3^2 * x^2 * x^1 * y^16\)

Taking the square root of that we get \(2*3*x*y^8 * \sqrt{2x}\) = \(6xy^8 *\sqrt{2x}\)

answer choice C
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Re: If x and y are both positive then √72x^3y^16 =  [#permalink]

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New post 05 Nov 2018, 11:14
1
Bunuel wrote:
If x and y are both positive then \(\sqrt{72x^3y^16} =\)


A. \(8xy^8\sqrt{2x}\)

B. \(6xy^4\sqrt{2x}\)

C. \(6xy^8\sqrt{2x}\)

D. \(6y^4\sqrt{8x}\)

E. \(9xy^8\sqrt{8x}\)


Dear Moderator,
There seems to be a small typo in the above question, for Y to be taken out of the square root as available in the answer choices , Y should have been raised to an even power in the question. Hope you will look into this. Thank you.
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- Stne
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Re: If x and y are both positive then √72x^3y^16 =  [#permalink]

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New post 05 Nov 2018, 11:16
stne wrote:
Bunuel wrote:
If x and y are both positive then \(\sqrt{72x^3y^16} =\)


A. \(8xy^8\sqrt{2x}\)

B. \(6xy^4\sqrt{2x}\)

C. \(6xy^8\sqrt{2x}\)

D. \(6y^4\sqrt{8x}\)

E. \(9xy^8\sqrt{8x}\)


Dear Moderator,
There seems to be a small typo in the above question, for Y to be taken out of the square root as available in the answer choices , Y should have been raised to an even power in the question. Hope you will look into this. Thank you.


Fixed that. As always, thank you for noticing.
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Re: If x and y are both positive then √72x^3y^16 =   [#permalink] 05 Nov 2018, 11:16
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