SOLUTION: How do you rationalize denominators and reduce the fraction completely? For example - 9 square root 5 over square root 3.

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-9squareroot5/squareroot3
square root of 3 can be rationalised by multiplying with square root of 3 .it is true for any number which requires rationalisation.so multiply n.r and d.r with that number that is all .here we get
-(9squareroot5)*(squareroot3)/[(squareroot3)*(squareroot3)=-9square root(5*3)/3
=-(9squareroot15)/3=-3squareroot15