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To rationalize the denominators we must first find there conjugates ...
so (sqrt48 + sqrt18)'s conjugate is (sqrt48 - sqrt18)
(sqrt48 - sqrt18) must be multiplied by the numerator and the denominator
hope you can do that I am writing it directly
now sqrt18 can also be written as 3xsqrt2 and sqrt48 can also be written as 4xsqrt3
now the answer of the numerator can be found using the identity (a-b)^2 = a^2 + b^2 - 2ab , hope you know it ,
then the denominator can be solved by using the identity a^2 - b^2
the numerator is 114 + 21 x sqrt6
the denominator is 48-18=30
so 114 + 21 x sqrt6/30  

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