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# 8√4n=(4√2)^8, n=?

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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 8017
GMAT 1: 760 Q51 V42
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11 Jul 2016, 00:49
00:00

Difficulty:

65% (hard)

Question Stats:

55% (01:47) correct 45% (02:03) wrong based on 68 sessions

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8√4n=(4√2)^8, n=?
A. 4^8
B. 4^10
C. 4^12
D. 4^16
E. 4^32

*An answer will be posted in 2 days

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"Only $79 for 1 month Online Course" "Free Resources-30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons - try it yourself" Retired Moderator Joined: 26 Nov 2012 Posts: 569 Re: 8√4n=(4√2)^8, n=? [#permalink] ### Show Tags 11 Jul 2016, 03:01 MathRevolution wrote: 8√4n=(4√2)^8, n=? A. 4^8 B. 4^10 C. 4^12 D. 4^16 E. 4^32 *An answer will be posted in 2 days Given 8√4n = $$(4√2)^8$$ and asked to find n. 8 ( √4n ) = $$(4√2)^8$$ Now dealing RHS. => $$4^8$$ $$(√2)^8$$ => $$4^8$$ $$(2)^4$$ Now 8 ( √4n ) = $$4^8$$ $$(2)^4$$ ( √4n ) = $$4^8$$ (2) ( Cancelling 8 on both LHS ad RHS) ( Here square root will get rid when square it) Now squaring on both sides. 4n = 4^16 (4) ( Cancelling 4 on both sides). n = 4^16. Thus D is the correct option. Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 8017 GMAT 1: 760 Q51 V42 GPA: 3.82 Re: 8√4n=(4√2)^8, n=? [#permalink] ### Show Tags 12 Jul 2016, 18:51 The correct answer is D. _________________ MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. "Only$79 for 1 month Online Course"
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Intern
Joined: 21 May 2013
Posts: 4
GPA: 3

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13 Jul 2016, 04:27
I'm getting 4^8 as an answer.

Sent from my iPhone using GMAT Club Forum mobile app
Current Student
Joined: 18 Oct 2014
Posts: 802
Location: United States
GMAT 1: 660 Q49 V31
GPA: 3.98

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13 Jul 2016, 06:51
rikingajjar wrote:
I'm getting 4^8 as an answer.

Sent from my iPhone using GMAT Club Forum mobile app

The question is √4 * n and not √(4n). Try solving again now
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Intern
Joined: 21 May 2013
Posts: 4
GPA: 3

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13 Jul 2016, 06:52
haha okay! mobile app has some issues with root thing

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Manager
Joined: 03 Sep 2018
Posts: 178

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17 Jan 2019, 03:08
What am I missing:

$$8*\sqrt{4}*n=4^8*\sqrt{2}^8$$

$$\implies$$ $$\sqrt{4}*n=4^8*2$$

$$\implies$$ $$2n=4^8*2$$

$$\implies$$ $$n=4^8$$
Manager
Joined: 03 Sep 2018
Posts: 178

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17 Jan 2019, 03:15
rikingajjar wrote:
I'm getting 4^8 as an answer.

Sent from my iPhone using GMAT Club Forum mobile app

The question is √4 * n and not √(4n). Try solving again now

That is incorrect: it is in fact √(4n) not √4 * n
Re: 8√4n=(4√2)^8, n=?   [#permalink] 17 Jan 2019, 03:15
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