Question

Write the complex number z = (1/2+ 2i)3 in a + ib form. Also find its multiplicative inverse

Answer 1

Step-by-step explanation:

Let z be the multiplicative inverse of 3+2i. then

⇒ z.(3+2i)=1⇒z=

3+2i

1

=

(3+2i)(3−2i)

3−2i

⇒ z=

13

3

−

13

2

i

(

13

3

−

13

2

i)

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