Question

Express 5+2√3/4+4√3 in the form of a+b√3​

Answer 1

Answer:

5+2√3/4+4√3=a+b√3

5+2√3/4+(4x4√3)/4=a+b√3 (5+2√3+16√3)/4=a+b√3

a=5/4 and b√3=18√3/4

a=5/4 and b=18/4

a=2.5 and b=4.5