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# cube root of 125)(cube root of 125) / (square root of 125) =

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Senior Manager
Joined: 11 May 2004
Posts: 458
Location: New York
Followers: 1

Kudos [?]: 14 [0], given: 0

cube root of 125)(cube root of 125) / (square root of 125) = [#permalink]  15 Oct 2005, 14:32
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0% (00:00) correct 0% (00:00) wrong based on 0 sessions
(cube root of 125)(cube root of 125) / (square root of 125) = ?
Manager
Joined: 15 Jul 2005
Posts: 106
Followers: 1

Kudos [?]: 4 [0], given: 0

125^1/6

(125^1/3 * 123^1/3) / 125^1/2

= 125^(1/3+1/3-1/2)

= 125^(2/3-1/2)

= 125^(1/6)
Manager
Joined: 15 Jul 2005
Posts: 106
Followers: 1

Kudos [?]: 4 [0], given: 0

Alternatively:

125^1/3*125^1/3 / 125^1/2

= 5*5/5*5^1/2

= 5^1/2
Director
Joined: 21 Aug 2005
Posts: 794
Followers: 2

Kudos [?]: 9 [0], given: 0

(5*5)/5*sqrt(5) = 5/sqrt(5) = sqrt(5) or 5^1/2
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