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Squares and Roots

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Manager
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Squares and Roots [#permalink] New post 26 Apr 2006, 07:27
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 [#permalink] New post 26 Apr 2006, 08:03
ccax guruji,

How do I interpret the Q?

Is it {(SQRT(x))^2 + SQRT(x^2)}?
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"To dream anything that you want to dream, that is the beauty of the human mind. To do anything that you want to do, that is the strength of the human will. To trust yourself, to test your limits, that is the courage to succeed."

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 [#permalink] New post 26 Apr 2006, 08:50
Strange question i think.
First of all, the square root of a negative number can't be a real number right, and isn't one of the assumptions on GMAT that all numbers are real?
Second, isn't III implicit of both I&II???
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 [#permalink] New post 26 Apr 2006, 09:01
kook44 wrote:
First of all, the square root of a negative number can't be a real number right, and isn't one of the assumptions on GMAT that all numbers are real?


That's true. But you don't have to compute the square root of a
negative number to realize that it's always true that

sqrt(x)^2 = x

In contrary to

sqrt(x^2) = |x|

====

kook44 wrote:
Second, isn't III implicit of both I&II???


Well it is, but to realize that has been a part of the question.
  [#permalink] 26 Apr 2006, 09:01
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