Question

If both a and b are rational number then find the value of a and b in the following root 5+ root 3 ÷root 5- root 3 =a-b root 15​

Answer 1

Answer:

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.