Question

3-√5/3+2√5 Rationalisation
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Answer 1

Answer:

Rationalising :-

3-√5 x 3-2√5 / 3+2√5-3-2√5

So first we simplify the numerator

=9-6√5-3√5-10

=9-9√5-10

= -1-9√5

we simplify denominator

=(3)^2-(2√5)^2

=9-(4 x 5)

=9-20

= -11

Therefore the answer is = -1-9√5/-11= 1-9√5/11