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Not equal to Square of an integer

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by swashbuckler » Sat Feb 28, 2009 2:47 pm
Hi there I'm stumped on understanding the following answer in OG 11 PS Question 56

It states that (radical sign)4 = 2 is not the square of an integer.

Is 2 squared not 4

Why is this the case? I can't seem to find a detailed explanation for the rationale behind this.
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by Ian Stewart » Sat Feb 28, 2009 3:06 pm
4 is the square of an integer - it's the square of 2, and also the square of -2.

2, however, is not the square of an integer. It's the square of root(2), which is roughly 1.4, and of -root(2), which is roughly -1.4.

The OG is saying that 2 is not the square of an integer.
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by swashbuckler » Sun Mar 01, 2009 11:11 am
Many thanks Ian for the explanation
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