Question

(Root5 + root3)÷(root5 - root3) = a+b×root15
Find the value of a and b.

Answer 1

√5+√3/√5-√3=a+b√15

=√5+√3(√5+√3)/√5-√3(√5+√3)

=(√5+√3)*2/5-3

=5+3+2√15/2

=8+2√15/2

=4+√15

a+b√15=4+√15

a=4

b=1