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28 Jun 2023, 01:55
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Hi all, I've just started studying for GMAT and it's been close to 8 years since I touched math. I was solving some basic problems when and I encountered a small hurdle. In some cases, if x^2=4, x = +-2, whereas in the same source material I was preparing from, it said, the square root of a positive number will always yield positive results, so √ 4 = 2 (Will always be 2). Can someone clarify this? What am I missing here?
Updated on: 28 Jun 2023, 03:22
Originally posted by GmatKnightTutor on 28 Jun 2023, 02:13.
Last edited by GmatKnightTutor on 28 Jun 2023, 03:22, edited 1 time in total.
Last edited by GmatKnightTutor on 28 Jun 2023, 03:22, edited 1 time in total.
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Yup, when you multiply (2 by 2) or (-2 by -2), you'll get (Positive 4) both times. That's why the "x" (in x^2=4) can itself be negative or positive.
When it comes to √x, however, the "x" will never be negative because something like √-2, an imaginary number, does not exist on the GMAT (it's not a realm of mathematics that's included).
All the best,
contact: gmatknight site
When it comes to √x, however, the "x" will never be negative because something like √-2, an imaginary number, does not exist on the GMAT (it's not a realm of mathematics that's included).
All the best,
contact: gmatknight site
28 Jun 2023, 03:19
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Awesome, thank you!
