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Which of the following is NOT equal to the square of an integer:

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Joined: 02 Sep 2009
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Which of the following is NOT equal to the square of an integer:  [#permalink]

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16 Sep 2018, 21:23
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Which of the following is NOT equal to the square of an integer:

A. $$\sqrt{{\sqrt{1}}}$$

B. $$\sqrt{4}$$

C. 18/2

D. 41 - 25

E. 36

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Re: Which of the following is NOT equal to the square of an integer:  [#permalink]

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16 Sep 2018, 22:28
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A)\sqrt{[square_root]1}[/square_root] = 1, Square root of 1 is 1

B)\sqrt{4} = 2 is not a square of an integer

C)18/2 = 9 is a square of 3

D) 41-25 = 16 is a square of 4

E) 36 is a square of 6

Hence IMO B
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Joined: 05 Dec 2019
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Re: Which of the following is NOT equal to the square of an integer:  [#permalink]

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30 Dec 2019, 17:26
Hi,

why NOT option A?
as √1 = either "+1" or "-1" and doing subsequent root "√(-1)" is not possible.
hence, i guess option "A" should also be considered.

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Re: Which of the following is NOT equal to the square of an integer:  [#permalink]

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07 Apr 2020, 09:53
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Hi,

why NOT option A?
as √1 = either "+1" or "-1" and doing subsequent root "√(-1)" is not possible.
hence, i guess option "A" should also be considered.

Although every positive number has two square roots, the square root notation (√) tells us to take only the positive root
So, for example, 9 has two square roots (3 and-3), since 3² = 9 and (-3)² = 9
However, the square root notation tells us to take the positive root, which means √9 = 3

Likewise, √1 = 1 (only)

Cheers,
Brent
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Re: Which of the following is NOT equal to the square of an integer:   [#permalink] 07 Apr 2020, 09:53