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Which of the following expression can be written as an

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Which of the following expression can be written as an [#permalink]

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New post 16 May 2012, 16:29
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Which of the following expression can be written as an integer?

1. \((\sqrt{82} + \sqrt{82})^2\)

2. \(82*\sqrt{82}\)

3. \(\frac{\sqrt{82}*\sqrt{82}}{82}\)

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


I doubt OA.
[Reveal] Spoiler: OA

Last edited by Bunuel on 17 May 2012, 00:23, edited 1 time in total.
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eybrj2 wrote:
Which of the following expression can be written as an integer?

1) (\sqrt{82} + \sqrt{82})^2
2) 82*\sqrt{82}
3) \sqrt{82}*\sqrt{82}/82

a. none
b. 1 only
c. 3 only
d. 1 and 2
e. 1 and 3


I doubt OA.


Hi

Option E is correct:

1) (\sqrt{82} + \sqrt{82})^2 = (2*\sqrt{82)^2= 4*82= Integer
2) 82*[square_root]82}= not an integer
3) (\sqrt{82} * \sqrt{82})/82
= 82/82=1= Integer
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Re: Which of the following expression can be written as an [#permalink]

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eybrj2 wrote:
Which of the following expression can be written as an integer?

1. \((\sqrt{82} + \sqrt{82})^2\)

2. \(82*\sqrt{82}\)

3. \(\frac{\sqrt{82}*\sqrt{82}}{82}\)

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

I doubt OA.


1. \((\sqrt{82} + \sqrt{82})^2=(2\sqrt{82})^2=4*82=integer\)

2. \(82*\sqrt{82}\) --> since \(\sqrt{82}\) is not an integer then \(82*\sqrt{82}\) is not integer either.

3. \(\frac{\sqrt{82}*\sqrt{82}}{82}=\frac{82}{82}=1=integer\).

Answer: E.
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