" (ii) "sqrt(3)+i" (NCERT) "

Show that (i)" "{((3+2i))/((2-3i))+((3-2i))/((2+3i))} is purely real, (ii)" "{((sqrt(7)+i sqrt(3)))/((sqrt(7)-i sqrt(3)))+((sqrt(7)- i sqrt(3)))/((sqrt(7) + i sqrt(3)))} is purely real.

Express the following expression in form of a+ib : ((3+i sqrt(5))(3-i sqrt(5)))/((sqrt(3)+sqrt(2) ( i ))-(sqrt(3)-i sqrt(2)))

The anmplitude of (1 + sqrt(3)i)/(sqrt(3) + i) is

The value of ((1+sqrt(3)i)/(1 - sqrt(3)i))^(10) is

((sqrt(3)+i sqrt(5))(sqrt(3)-i sqrt(5)))/((sqrt(3)+sqrt(2)i)-(sqrt(3)-i sqrt(2))

( (sqrt(2)+i sqrt(3))+(sqrt(2)-i sqrt(3)) )/( (sqrt(3)+i sqrt(2))+(sqrt(3)-i sqrt(2)) )