Question

5+2√3/7+4√3 = A + B√3
Find the value of A and B.

Answer 1

Answer:

A=11

B=-6

Step-by-step explanation:

5+2√3/7+4√3

By rationalising;

5+2√3/7+4√3×7-4√3/7-4√3

35-√3(14-8)-24/49-48

35-√3(6)-24

11-6√3

Hence by comparing;

A=11

B=-6