Question

if 5 + 2 root 3/ 7 + 4 root 3 = a & b ; find a and b

Answer 1

Lhs = (5+2√3)/(7+4√3) = [( 5+2√3)(7-4√3)]/[(7-4√3)(7+4√3)] =[35-20 √3+14√3-24]/[7²-(4√3)²] =[11-6√3]/[49-48]