`(sqrt5 + i sqrt3)(-2 + i)`

(sqrt5 + isqrt3)(-2 + i)

(sqrt(5 + 12 i ) + sqrt( 5 - 12 i) ) /(sqrt(5 + 12 i ) - sqrt( 5 - 12 i))=

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.

2 - sqrt3 i - sqrt2

2 - sqrt3 i - sqrt2

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

(sqrt(5+12i)+sqrt(5-12i))/(sqrt(5+12i)-sqrt(5-12i))

(sqrt(5+12i)+sqrt(5-12i))/(sqrt(5+12i)-sqrt(5-12i))=

Simplify: (sqrt(5+12i)+sqrt(5-12i))/(sqrt(5+12i)-sqrt(5-12i))