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squares and square roots clarification

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squares and square roots clarification [#permalink] New post 28 Jan 2009, 05:47
In GMAT, is sqrt(x) always +ve ?
This can get really tricky in some DS questions depending on
the equations, example if we simplify equation and use x instead of
sqrt(x) and consider positive/negative numbers - could get
a wrong answer.

Any suggestions for a clean way to handle this topic is appreciated.
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Re: squares and square roots clarification [#permalink] New post 30 Jan 2009, 13:45
ConkergMat wrote:
In GMAT, is sqrt(x) always +ve ?
This can get really tricky in some DS questions depending on
the equations, example if we simplify equation and use x instead of
sqrt(x) and consider positive/negative numbers - could get
a wrong answer.

Any suggestions for a clean way to handle this topic is appreciated.


There are many posts that discussed this issue in details.
Try finding some of them and go through them. They would, I believe, clear your doubt.

Refer:
7-t75259
viewtopic.php?t=39533
_________________

Verbal: new-to-the-verbal-forum-please-read-this-first-77546.html
Math: new-to-the-math-forum-please-read-this-first-77764.html
Gmat: everything-you-need-to-prepare-for-the-gmat-revised-77983.html


GT

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Re: squares and square roots clarification [#permalink] New post 26 Jun 2014, 22:26
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Quoting another answer, in essence,

"In GMAT math, the roots of x are expressed as +\sqrt{x} and -\sqrt{x}

\sqrt{x} itself is ALWAYS positive. I completely understand your logic, but if you don't accept this as a convention, you are bound to either get DS sums wrong or frown on several PS sums.

For example, the solutions for x in the equation x^2 = 25 are x=5 and x=-5.

HOWEVER, if x = 25, then \sqrt{x} = 5. PERIOD. Remember, convention not logic! :)

Good luck!"
Re: squares and square roots clarification   [#permalink] 26 Jun 2014, 22:26
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