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GMAT Problem Solving (PS) | Re: If x and y are non-zero numbers and the value of (y)10x5 is -1, which

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Sirakri wrote:

Bunuel

Can we say that, for a negative number, ODD ROOT is defined but EVEN ROOT isn't.

5THROOT(-1)=-1
SQRT(-Y^2)=NOT DEFINED.

Thank you.

Posted from my mobile device


Yes.

When the GMAT provides the square root sign for an even root, such as\(\sqrt{x}\) or\(\sqrt[4]{x}\) , then the only accepted answer is the positive root. That is,\(\sqrt{16}=4\) , NOT +4 or -4.Even roots have only a positive value on the GMAT.

\(\sqrt{negative}=undefined\)
In contrast, the equation\(x^2=16\) has TWO solutions, +4 and -4.

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