GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 18 Jun 2019, 06:03

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

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

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 55668
If x and y are both positive then √72x^3y^16 =  [#permalink]

### Show Tags

18 Oct 2018, 01:37
00:00

Difficulty:

25% (medium)

Question Stats:

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

### HideShow timer Statistics

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. $$9xy^8\sqrt{8x}$$

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

### Show Tags

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 $$2*3*x*y^8 * \sqrt{2x}$$ = $$6xy^8 *\sqrt{2x}$$

Director
Joined: 27 May 2012
Posts: 800
Re: If x and y are both positive then √72x^3y^16 =  [#permalink]

### Show Tags

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.
_________________
- Stne
Math Expert
Joined: 02 Sep 2009
Posts: 55668
Re: If x and y are both positive then √72x^3y^16 =  [#permalink]

### Show Tags

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.
_________________
Re: If x and y are both positive then √72x^3y^16 =   [#permalink] 05 Nov 2018, 11:16
Display posts from previous: Sort by