Question

Simplify the following by rationalizing the denominator :-
6+3√5/6-3√5
( Plz, also give the prosses of how to calculate it)

Answer 1

Answer:

(6+3√5)/(6-3√5)

=(6+3√5)^2/(6-3√5)(6+3√5)

=(6+3√5)^2/{(6)^2-(3√5)^2}

=(6+3√5)^2/(36-45)

= -(6+3√5)^2/9

= -1/9(36+45+2.6.3√5)

= -1/9(81+36√5)

= -1/9.9(9+4√5)

= -(9+4√5)