Question

( 5+√3)/(7-4√3) = a+b

Answer 1

(5 + √3)/(7 - 4√3) = a + b

5 + √3 (7 + 4√3)/7 - 4√3 (7 + 4√3) = a + b

35 + 20√3 + 7√3 + 12/(7)^2 - (4√3)^2 = a + b

47 + 27√3/49 - 48

47 + 27√3/1

Therefore, a = 47 and b = 27√3

Hope it helps :)