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Re: If u and –3v are greater than 0, and [#permalink]
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Carcass wrote:
If u and –3v are greater than 0, and \(\sqrt{u} < \sqrt{-3v}\) , which of the following cannot be true ?

A. \(\frac{u}{3} < -v\)

B. \(\frac{u}{v} > -3\)

C. \(\sqrt{\frac{u}{-v}} < \sqrt{3}\)

D. \(u + 3v > 0\)

E. \(u < -3v\)


If \(\sqrt{u} < \sqrt{-3v}\), then it must also be true that u < -3v

Scan the answer choices....

Hmmm, D says that u + 3v > 0
However, if we take u < -3v and add 3v to both sides, we get: u + 3v < 0, which is the OPPOSITE of what answer choice D is saying.

Answer: D

Cheers,
Brent
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Re: If u and –3v are greater than 0, and [#permalink]
** When the GRE writes a root sign, they are indicating a nonnegative root only**


Can someone explain what is the exact meaning of this with an example?
Thanks in advance!
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Re: If u and –3v are greater than 0, and [#permalink]
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ZIONGRE wrote:
** When the GRE writes a root sign, they are indicating a nonnegative root only**


Can someone explain what is the exact meaning of this with an example?
Thanks in advance!


Every positive number has two square roots.
For example, the square root of 25 is 5, since 5² = 25 AND -5, since (-5)² = 25

However, the square root NOTATION tells us to indicate the non-negative root only.

So, for example:
\(\sqrt{25}=5\)
\(\sqrt{49}=7\)
\(\sqrt{0.25}=0.5\)
\(\sqrt{0}=0\)
etc

Does that help?

Cheers,
Brent
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Re: If u and 3v are greater than 0, and [#permalink]
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Re: If u and 3v are greater than 0, and [#permalink]
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