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

Express the result in the form x+iy, where x,y are real number i=sqrt(-1) : (i) (5+9i)-:(-3+4i) (ii) [(sqrt(5)+(i)/(2))(sqrt(5)-2i)]-:(6+5i) (iii) ((1-i)(2-i)(3-i))/(1+i) (iv) (1+3i)/((1-2i)^(2))

Express the following expression in the form of a+lb: [((sqrt(5)+i)/(2))(sqrt(5)-2i)]+(6+5i)

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) .

If x=((sqrt(5)-2))/(sqrt(5)+2) and y=(sqrt(5)+2)/(sqrt(5)-2) find (i)

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

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

Find the following as a single complex number x+iy(sqrt(6)+i5)(sqrt(6)-i(1)/(5))

Find the following as a single complex number x+ iy (sqrt(6)+i5)(sqrt(6)-i(1)/(5))

Simplify by raationalising the denominator. (i) (7sqrt(3) - 5sqrt(2))/(sqrt(48) + sqrt(18)) (ii) (2sqrt(6) -sqrt(5))/(3sqrt(5)-2sqrt(6))

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))