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# Which of the following is closest in value to √7.5×32×3125?

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Math Expert
Joined: 02 Sep 2009
Posts: 58402
Which of the following is closest in value to √7.5×32×3125?  [#permalink]

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22 Apr 2018, 22:10
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Difficulty:

55% (hard)

Question Stats:

65% (02:01) correct 35% (01:54) wrong based on 150 sessions

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Which of the following is closest in value to $$\sqrt{7.5*32*3125}$$?

A. 75
B. 85
C. 750
D. 850
E. 7500

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Joined: 24 Jun 2013
Posts: 144
Location: India
Schools: ISB '20, GMBA '20
Re: Which of the following is closest in value to √7.5×32×3125?  [#permalink]

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22 Apr 2018, 23:14
1
1
Bunuel wrote:
Which of the following is closest in value to $$\sqrt{7.5*32*3125}$$?

A. 75
B. 85
C. 750
D. 850
E. 7500

32*7.5 = 240 , factoring 240 = 4^2 * 3 * 5

3125 = 5 * 25* 25

so solving = $$\sqrt{4^2 * 5^2 * 3 * 25^2}$$

= 500 $$\sqrt{3}$$= 860 , so D is closest hence ans
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Manager
Joined: 30 Mar 2017
Posts: 127
GMAT 1: 200 Q1 V1
Re: Which of the following is closest in value to √7.5×32×3125?  [#permalink]

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23 Apr 2018, 18:21
1
Bunuel wrote:
Which of the following is closest in value to $$\sqrt{7.5*32*3125}$$?

A. 75
B. 85
C. 750
D. 850
E. 7500

We can approximate

$$\sqrt{7.5*32*32*100}=320\sqrt{7.5}$$

$$\sqrt{7.5}$$ approx 2.6

$$32*26=832$$

Intern
Joined: 30 Aug 2019
Posts: 8
Re: Which of the following is closest in value to √7.5×32×3125?  [#permalink]

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08 Sep 2019, 00:59
32: 4*4*2
3125: 25*25*5
4*25 out of the roots and 7.5*2*5 inside the root
= 75
75: 25*3
4*25*5 out and 3 inside
= 500*root of 3 =1.73*500 = 865 = d
Re: Which of the following is closest in value to √7.5×32×3125?   [#permalink] 08 Sep 2019, 00:59
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# Which of the following is closest in value to √7.5×32×3125?

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