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Which of the following is the value of root{3rd rt{0,000064}

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Senior Manager
Senior Manager
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B
Joined: 27 Mar 2016
Posts: 338

Kudos [?]: 112 [0], given: 26

Location: United States (CO)
GMAT 1: 770 Q51 V44
GPA: 3.69
WE: Analyst (Consulting)
Re: Which of the following is the value of root{3rd rt{0,000064} [#permalink]

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New post 19 Jun 2016, 02:44
The number is 64 / 1,000,000. Third root of 64 is 4, and third root of the other number is 100. So the answer is the square root of (4/100) which is clearly 0.2.

Kudos [?]: 112 [0], given: 26

Manager
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B
Joined: 05 Nov 2014
Posts: 109

Kudos [?]: 10 [0], given: 84

Location: India
Concentration: Strategy, Operations
GMAT 1: 580 Q49 V21
GPA: 3.75
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Re: Which of the following is the value of root{3rd rt{0,000064} [#permalink]

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New post 22 Jun 2017, 10:59
Solution:

cube root of 0.000064=0.04

Sq.root of 0.04= 0.2

Therefore, the answer is E

Kudos [?]: 10 [0], given: 84

Manager
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Joined: 07 Jun 2017
Posts: 116

Kudos [?]: 41 [0], given: 47

Location: India
Concentration: Technology, General Management
GMAT 1: 660 Q46 V38
GPA: 3.6
WE: Information Technology (Computer Software)
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Re: Which of the following is the value of root{3rd rt{0,000064} [#permalink]

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New post 13 Sep 2017, 22:27
to find cube root of .000064
there are 6 digits after point in .000064 so in cube root there should be 2 digits after point
cube root of 64 is 4
so cube root of .000064 = .04(2 digits after point)
again square root of .04
here there are 2 digits after point so in square root there should be one digit
so Square root of .04 = .2
Answer E

Give kudo if you like my explanation
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Naveen
email: nkmungila@gmail.com
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Kudos [?]: 41 [0], given: 47

Senior Manager
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G
Joined: 29 Jun 2017
Posts: 347

Kudos [?]: 67 [0], given: 64

WE: Engineering (Transportation)
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Re: Which of the following is the value of root{3rd rt{0,000064} [#permalink]

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New post 13 Sep 2017, 22:54
Sqrt((64x.000001)^1/3)
Sqrt(4x0.01)
2x0.1
0.2
E is the answer


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Give Kudos for correct answer and/or if you like the solution.

Kudos [?]: 67 [0], given: 64

Re: Which of the following is the value of root{3rd rt{0,000064}   [#permalink] 13 Sep 2017, 22:54

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