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Which of the following expressions can be written as an

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VP
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Which of the following expressions can be written as an [#permalink] New post 12 Oct 2007, 00:40
Which of the following expressions can be written as an integer ?

1. (82^1/2+82^1/2)^2

2. 82*(82^1/2)

3. ((82^1/2)*(82^1/2))/82

_________________________________________________

A. None
B. 1 only.
C. 3 only.
D. 1 and 2.
E. 1 and 3.

Thanks - OA soon.
Intern
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Re: Gset integer [#permalink] New post 12 Oct 2007, 01:04
KillerSquirrel wrote:
Which of the following expressions can be written as an integer ?

1. (82^1/2+82^1/2)^2

2. 82*(82^1/2)

3. ((82^1/2)*(82^1/2))/82

_________________________________________________

A. None
B. 1 only.
C. 3 only.
D. 1 and 2.
E. 1 and 3.

Thanks - OA soon.


IMHO, E.

1. (82^1/2 +82^1/2)^2 = (82^1/2)^2+2*82^1/2*82^1/2+(82^1/2)^2 =
82+2*82+82.
2. 82*(82^1/2) = 82^1*82^1/2 = 82^(1+1/2)=82^1.5
3. ((82^1/2)*(82^1/2))/82 = 82^(1/2+1/2)/82 = 1
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 [#permalink] New post 12 Oct 2007, 01:10
(E) as well :)

1. (82^1/2+82^1/2)^2
= (2 * (82^1/2))^2
= 4 * 82

2. 82*(82^1/2) >>>> Nothing to do here :)

3. ((82^1/2)*(82^1/2))/82
= 82/82
= 1
VP
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Joined: 08 Jun 2005
Posts: 1157
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 [#permalink] New post 12 Oct 2007, 02:05
The OA is indeed (E)

:)
  [#permalink] 12 Oct 2007, 02:05
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