22.8 e) ExpToTrig[e^(i*(pi*(1/4)))-e^(i*(pi*(-1/4)))] f) ExpToTrig[2*e^(i*(pi*(1/4)))/(e^(i*(pi*(-3/4))))] 23.4 (-64)^(1/4) 24.1 a) z_1 = 3*e^(i*(pi/3)) d) z_4 = 2*e^(i(-pi/3)) z_1 + z_4 = (3*e^(i*(pi/3))) + (2*e^(i(-pi/3))) z_1 * z_4 = (3*e^(i*(pi/3))) * (2*e^(i(-pi/3))) z_1 / z_4 = (3*e^(i*(pi/3))) / (2*e^(i(-pi/3))) 24.2 a) (4*e^(i*(-pi/3)))^5+(sqrt(3)*e^(i*(3pi/2)))^8 c) ( (sqrt(2)*e^(i*(5pi/4))) * (2*e^(i*(2pi/3))) )^5 d) ( (4*e^(i*(-pi/3))) + (2*e^(i*(2pi/3)))^2 )^(1/3) e) ( (4*e^(i*(-pi/3))) + (sqrt(3)*e^(i*(3pi/2))) )/(2*e^(i*(2pi/3))) f) ( (2*e^(i*(2pi/3))) )^(1/4)/ (sqrt(3)*e^(i*(3pi/2))) h) |( (4*e^(i*(-pi/3))) )^3 + (sqrt(2)*e^(i*(5pi/4)))^2| i) |( Conjugate[(2*e^(i*(2pi/3)))] ) / (sqrt(3)*e^(i*(3pi/2)))| 24.3 a) 1^(1/4) b) (1+i)^(1/2) d) (1/sqrt(2)+i/sqrt(2))^(1/2) e) (-2(1+sqrt(3)i))^(1/2) f) (-i)^(1/3) g) (-27)^(1/3) h) (i)^(1/4) i) (sqrt(3)+i)^(1/4) k) solve x^2-6x+10=0 l) solve x^3-3x^2+3x-28=0 m) solve x^4+6x^2+8=0 n) (1-2i)^(1/3) o) (x+1)/(x-1) where x = 2 (x+1)/(x-1) where x = -2 (x+1)/(x-1) where x = 2i (x+1)/(x-1) where x = -2i (x+1)/(x-1) where x = sqrt(2)+i*sqrt(2) (x+1)/(x-1) where x = -sqrt(2)+i*sqrt(2) (x+1)/(x-1) where x = +sqrt(2)-i*sqrt(2) (x+1)/(x-1) where x = -sqrt(2)-i*sqrt(2) p) solve x^3+2x^2+2x+4=0 24.4 (8i)^(1/4) 24.5 1 + [n (mod 2)] reaalset juurt