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# M28-50

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Intern
Joined: 07 May 2018
Posts: 4
Location: India
Concentration: Leadership, General Management
GMAT 1: 670 Q48 V34
GMAT 2: 710 Q48 V40
GPA: 3

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29 Aug 2018, 13:18
Got it. Thanks for Opening my eyes. Thank you so much.
Manager
Joined: 23 Aug 2017
Posts: 118

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16 Dec 2018, 22:45
Bunuel...
Reg Statement (2)..shouldnt we need to consider that Root(X) and Root(y) can also be the negative numbers...thus rendering the Statement insufficient?
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Joined: 02 Sep 2009
Posts: 57025

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16 Dec 2018, 23:47
Debashis Roy wrote:
Bunuel...
Reg Statement (2)..shouldnt we need to consider that Root(X) and Root(y) can also be the negative numbers...thus rendering the Statement insufficient?

First of all, (2) says that $$\sqrt{x}$$ and $$\sqrt{y}$$ are prime numbers. Only positive numbers can be primes.

Next, when the GMAT provides the square root sign for an even root, such as a square root, fourth root, etc. then the only accepted answer is the non-negative root. That is:

$$\sqrt{9} = 3$$, NOT +3 or -3;
$$\sqrt[4]{16} = 2$$, NOT +2 or -2;

Notice that in contrast, the equation $$x^2 = 9$$ has TWO solutions, +3 and -3. Because $$x^2 = 9$$ means that $$x =-\sqrt{9}=-3$$ or $$x=\sqrt{9}=3$$.
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Re: M28-50   [#permalink] 16 Dec 2018, 23:47

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# M28-50

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