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Which of the answer choices properly lists the following in

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Which of the answer choices properly lists the following in [#permalink]  16 Jul 2003, 01:13
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Which of the answer choices properly lists the following in increasing order from left to right (all roots are positive):

3rd root of 2, 6th root of 5, 10th root of 10, 15th root of 30.

(A) 3rd root of 2, 6th root of 5, 10th root of 10, 15th root of 30.
(B) 10th root of 10, 15th root of 30, 3rd root of 2, 6th root of 5
(C) 10th root of 10, 3rd root of 2, 6th root of 5, 15th root of 30
(D) 15th root of 30, 3rd root of 2, 10th root of 10, 6th root of 5
(E) 15th root of 30, 10th root of 10, 3rd root of 2, 6th root of 5
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AkamaiBrah
Former Senior Instructor, Manhattan GMAT and VeritasPrep
Vice President, Midtown NYC Investment Bank, Structured Finance IT
MFE, Haas School of Business, UC Berkeley, Class of 2005
MBA, Anderson School of Management, UCLA, Class of 1993

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[#permalink]  16 Jul 2003, 02:36
Okies make a common base,

LCM is 30.

So, the first one becomes (1024)^1/30.

Second one becomes, (3125)^1/30

Third one becomes, (1000)^1/30.

Fourth one becomes, (900)^1/30.

So the least is fourth one.

So answer is , E.
GMAT Instructor
Joined: 07 Jul 2003
Posts: 770
Location: New York NY 10024
Schools: Haas, MFE; Anderson, MBA; USC, MSEE
Followers: 13

Kudos [?]: 69 [0], given: 0

[#permalink]  16 Jul 2003, 02:58
evensflow wrote:
Okies make a common base,

LCM is 30.

So, the first one becomes (1024)^1/30.

Second one becomes, (3125)^1/30

Third one becomes, (1000)^1/30.

Fourth one becomes, (900)^1/30.

So the least is fourth one.

So answer is , E.

Exactly the proper approach. Very nicely done.
_________________

Best,

AkamaiBrah
Former Senior Instructor, Manhattan GMAT and VeritasPrep
Vice President, Midtown NYC Investment Bank, Structured Finance IT
MFE, Haas School of Business, UC Berkeley, Class of 2005
MBA, Anderson School of Management, UCLA, Class of 1993

[#permalink] 16 Jul 2003, 02:58
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