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

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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, 00:37
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  35% (medium)

Question Stats:

67% (01:11) correct 33% (01:22) wrong based on 49 sessions

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

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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, 08:38
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, 10:14
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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Posts: 50711
Re: If x and y are both positive then √72x^3y^16 =  [#permalink]

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New post 05 Nov 2018, 10:16
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.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

GMAT Club Bot
Re: If x and y are both positive then √72x^3y^16 = &nbs [#permalink] 05 Nov 2018, 10:16
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If x and y are both positive then √72x^3y^16 =

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