Friday, July 23, 2010

Find three numbers to make the expression rational`sqrt(x+y+z)`

An expression represents a rational number if the simplified result yields a number of the form`p/q` where p and q are integers and `q!=0`


A square root is rational only if the expression in the radical simplifies to a perfect square. Thus`x+y+z`must add to a perfect square.


Examples include x=y=z=0


x=y=1, z=2


x=y=z=3/4


x=2,y=6,z=8


etc...

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