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#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  # Which of the following is closest in value to √7.5×32×3125?

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Math Expert V
Joined: 02 Sep 2009
Posts: 58954
Which of the following is closest in value to √7.5×32×3125?  [#permalink]

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Difficulty:   55% (hard)

Question Stats: 68% (02:02) correct 32% (01:58) wrong based on 161 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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Manager  G
Joined: 30 Mar 2017
Posts: 125
GMAT 1: 200 Q1 V1 Re: Which of the following is closest in value to √7.5×32×3125?  [#permalink]

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2
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

$$32*26=832$$

Manager  G
Joined: 24 Jun 2013
Posts: 142
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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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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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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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
Director  P
Joined: 24 Nov 2016
Posts: 739
Location: United States
Which of the following is closest in value to √7.5×32×3125?  [#permalink]

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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

$$\sqrt{7.5*32*3125}…\sqrt{15/2*32*3125}…\sqrt{15/2*32*3125}…\sqrt{15*16*3125}$$
$$\sqrt{3*4^2*5^2*625}…4*5*25\sqrt{3}…4*5*25*(7/4)…5*25*7$$
$$5*25*7=125*7=700+140+35=875$$ Which of the following is closest in value to √7.5×32×3125?   [#permalink] 06 Nov 2019, 05:51
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# Which of the following is closest in value to √7.5×32×3125?  