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## Sqrt

What is the value of SQRT(QR) ?

1) ( SQRT(Q) + SQRT(R) ) is an integer

2) SQRT ( Q + R) is an integer

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Think it's E

1. Not enough - can be any values
2. not enough - can be any values

Combined - not enough: Q=64, R=36 or Q=6400, R=3600 - Not enough.

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Case 1. Q = 16 and R = 9
1. is satisfied and so is 2.
Case 2. Q = 16 and R = 25
1. is satisfied and 2 is not.
Hence none of the statements (even in conjunction) can be used to help answer the question.

More explanation invited.. i dont know if my approach is correct. Can anyone come up with a convincing "method"? HELP!

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I am positive it is E. Here is the explaination

Take 1: sqrt(Q) and sqrt(R) are integers. this implies Q = x^2 and R = y^2 x and y ae integers
and so sqrt(QR) = sqrt(x^2*y^2) = x*y

So it is enough if it was both are individually integers. But not when the addition is an integer
2 is not sufficient as explained by others

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Originally Posted by gandidp@yahoo.com
I am positive it is A. Here is the explaination

Take 1: sqrt(Q) and sqrt(R) are integers. this implies Q = x^2 and R = y^2 x and y ae integers
and so sqrt(QR) = sqrt(x^2*y^2) = x*y

So it is enough
2 is not sufficient as explained by others
Question asks for the value of sqrt(QR). To state

sqrt(QR)=x*y where x,y are integers does not give the value of sqrt(QR). Hence insuff.

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Agreed with He_hels. Either that or the question needs more data.

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