[(sqrt(5)+(i)/(2))(sqrt(5)-2i)]-:(6+5i)

[(sqrt(5)+(i)/(2))(sqrt(5)-i2)]-:(6+i5)

[(sqrt(5)+i/2)(sqrt(5)-i2)]-:(6+i5)

(5+sqrt(2)i)/(1-2sqrt(i))

Perform the following by the indicated operations. Express the result in the form x + iy,where x, y are real numbers i = sqrt(-1) : [(sqrt5+i/2)(sqrt5-2i)] div (6+5i) .

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

If z=((sqrt(5))/(2)+(i)/(2))^(5)+((sqrt(5))/(2)-(i)/(2))^(5) , the prove that Im(z)=0 .

the value of |((3-i sqrt(2))^(2))/(1+i2)| is equal to (i) (11)/(sqrt(5)) (ii) (18)/(sqrt(7)) (iii) (5)/(sqrt(11)) (iv) (13)/(sqrt(3))

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

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

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