[(sqrt(2)+i sqrt(3))+(sqrt(2)-i sqrt(3))]

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

(sqrt(3)+i sqrt(2))(sqrt(2)+i sqrt(3))= ..........

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.

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

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

The quadratic equation whose roots are (sqrt(2)+sqrt(3)i)/(sqrt(2)-sqrt(3)i) and (sqrt(2)-sqrt(3)i)/(sqrt(2)+sqrt(3)i) (A) 5x^(2)-2x+5=0 (B) 5x^(2)+2x+5=0 (C) 5x^(2)+2x-5=0 (D) 5x^(2)-2x-5=0

Simplify: (i) (3sqrt(2)-2sqrt(2))/(3sqrt(2)+\ 2sqrt(3))+(sqrt(12))/(sqrt(3)-\ sqrt(2)) (ii) (sqrt(5)+\ sqrt(3))/(sqrt(5)-\ sqrt(3))+(sqrt(5)-\ sqrt(3))/(sqrt(5)+\ sqrt(3))

Simplify: (i) (2 sqrt(2) + 3 sqrt(3)) (2 sqrt(2) - 3 sqrt(3)) (ii) (2 sqrt(8) - 3 sqrt(2))^(2) (iii) (sqrt(7) + sqrt(6))^(2) (iv) (6 - sqrt(2))(2 + sqrt(3))

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

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