Question

5+2√3/7+4√3=a+b√3 find value of a and b​

Answer 1

5+2√3/7+4√3

=5+2√3/7+4√3*(7-4√3/7-4√3)

=[(5+2√3)(7-4√3)] / 49-48

=5(7-4√3)+2√3(7-4√3)

=35-20√3+14√3-24

=11-6√3

=11+(-6)√3

Therfore, a=11 and b=(-6)