Polynomials

Question

Simplify the following by rationalising the denominators: $fraction numerator 3 square root of 3 minus 2 square root of 5 over denominator 3 square root of 3 plus 2 square root of 5 end fraction plus fraction numerator square root of 12 over denominator square root of 5 minus square root of 3 end fraction$

Solution

Sollution not provided.
Ans. $68 over 7 minus 12 over 7 square root of 5 plus square root of 15$