Question

if a=root10+ root 5 by root 10- root 5 and b =root10 - root 5by root10 + root 5 then prove that roota + root b- 2rootab =0​

Answer 1

√10+√5/√10–√5=b

√10–√5/√10+√5=a

√a+√b–2√ab=0

by adding equation a by b

gives 10=ab

2√ab = 2√10

=2(100)/200

=200/200

=0