square roots

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by Geva@EconomistGMAT » Wed Feb 02, 2011 5:09 am
bizwiz wrote:√ (S sqrd + S sqrd ) is ?
= √(2s^2) = s√2
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by fskilnik@GMATH » Thu Feb 03, 2011 3:58 pm
Geva@MasterGMAT wrote:
bizwiz wrote:√ (S sqrd + S sqrd ) is ?
= √(2s^2) = s√2
Hi bizwiz!

s^2 is always non-negative (and twice of it also, for sure), therefore the question itself is well-defined for every real number s.

When s is positive or null, Geva´s answer is right. When s is negative, please note that sqrt(s^2) = |s| = -s (try s=-1), therefore the correct answer, in general, is |s|*sqrt(2).

Regards,
Fabio.

@Geva: please do not answer BTG posts right after drinking. You are too strong to miss the #$(*)# modulus!
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