2. Ejercicios Representar graficamente los siguientes complejos B = 6 D = 3 - i E = - 5i F = - 8 - 7i Sumar 1) ( 4 + 2i ) + ( 2 + 3i ) = Rta: ( 6 + 5i ) 2) ( -1 + i ) + ( 2 - i ) = Rta: ( 1 ) 3) ( 1 - √2i ) + ( - 2 + 3√2i ) = Rta: ( - 1 - 2√2i ) 4) ( 2/5 - 3i ) + ( 7/10 - 3i ) = Rta: ( 11/10 - 6i ) Restar 1) ( 3 + 4i ) - ( 1 + 3i ) = Rta: ( 2 - i ) 2) - 1/3i - ( 1/2 - 3/5i ) = Rta: ( - 1/2 + 4/15i) 3) ( 1/5 + 3/2i ) - ( 9 - 3i ) = Rta: ( - 44/5 + 9/2i) 4) ( - 1/3 + 2/3i ) - ( 5/6 - i ) = Rta: ( - 7/6 + 5/3i ) Sumas algebraicas 1) ( 3/2 + 1/5i ) + ( - 1/3 + 4i ) - ( 1/2 - 1/5i ) = Rta: ( 2/3 + 22/5i ) 2) ( 1/4i ) - ( - 5i ) - ( 3i ) = Rta: 9/4i 3) ( 5i ) + ( - 3 + 4/5i ) - ( 3/5i) - ( - 3 - 4/5i ) = Rta: 6i 4) ( - 1/3i ) + ( 1/3 + 3i ) + ( -1/3 - 3i ) + ( - 5i ) = Rta: -16/3i Multiplicar 1) ( 4 + 1/3i ) . ( 5 + 3/2i ) = Rta: ( 39/2 + 23/3i ) 2) ( √7 - √5i ) . ( √7 + √5i ) = Rta: ( 7 - 5i ) 3) ( - 1/3 - 1/2i ) . ( 2 - 4/5i ) = Rta:( - 16/15 - 11/5i ) 4) ( 1/2 - i ) . ( 1/2 + i ) = Rta: - 3/4 Dividir 1) 3 - 3i _______ = - 6 + 6i 2) - 1/2 + 2i ___________= 2/3 - i 3) ( - 1/2 - 1/5i ) : ( - 1/2 + 1/5i ) = 4) ( - 9 - 3/5i ) : ( - 9 + 3/5i ) Ejercicios combinados 1) (√2 + √2 )2- ( 1 - √3i 2) - √3i = ( 2 2 2 2 ) 2) 1 - i - 3 = i 2 - i 3) i 4 + i 9 + i 16 _______________ = 2 - i5 + i 10 - i 15