Prove : root 7 + i root 3 / root 7 - i root 3 + root 7 -i root 3 / root 7 +i root 3 is real.

if a²+b²=1 then prove that-

1+ a + ib / 1 + a - ib = a + ib

Question

Prove : root 7 + i root 3 / root 7 - i root 3 + root 7 -i root
3 / root 7 +i root 3 is real
if a2+b2=1 then prove that-

1+ a + ib / 1 + a - ib = a + ib

Himanshu · Accepted Answer

Prove : root 7 + i root 3 / root 7 - i root 3 + root 7 -i root 3 / root 7 +i root 3 is real. if a2+b2=1 then prove that- 1+ a + ib / 1 + a - ib = a + ib