Question

find a &b if 2√3+5√5 / 2√3-5√5 = a√5+b√3

Answer 1

Answer:

Step-by-step explanation:

Given (3+√5)/(3-√5) = a+b√5

(3+√5)(3+√5)/(3-√5)(3+√5) = a+b√5

(9+6√5+5)/(9–5) = a+b√5

(14+6√5)/4 = a+b√5

7/2 + 3√5/2 = a+b√5

Hence a= 7/2 and b= 3/2.