Question

If both a and b are rational numbers.Find the values of a and b - 5+2√3/7+4√3= a+b√3​

Answer 1

Answer:

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)