Question

Find the value of a and b so that five + 2 under root 3 upon 7 + 4 under root 3 equal to a +b under root 3

Answer 1

(5+2√3) / (7 + 4√3) = (5+2√3) / (7 + 4√3) * (7 - 4√3) / (7 - 4√3)

we know that a²-b² = (a+b)*(a-b)

= (7 + 4√3) * (5+2√3) / (49-48) = 35 + 20√3 + 14√3 + 24 = 59 + 34√3

a = 59 & b = 34