Question

find 'a'and 'b'if 5+2root5/7+4root3=a+broot15​

Answer 1

5+2√5/7+4√3=a+b√15

on rationalizing

5+2√5(7-4√3)/7+4√3(7-4√3)=a+b√15

35-20√3+14√5-8√15/7^2-4√3^2=a+b√15

35-20√3+14√5-8√15/1=a+b√15

on comparing

a=35-20√3+14√5,b=-8