Question

Find the value of a and b if . Root 5+3root2/root 5-3root2 =a+_b root 2

Answer 1

(√5 + 3√2) / (√5 - 3√2) = (√5 + 3√2) / (√5 - 3√2) * (√5 + 3√2) / (√5 + 3√2)

We know that (a-b)(a+b) = a^2 - b^2 and (a+b)^2 = a^2 + b^2 + 2ab

= (5 + 18 + 6√10) / (-13)

a = -23/13 & b = -6/13