Q4 of 153 Page 13

Find the multiplicative inverse of the following complex numbers :

√5 + 3i

Given complex number is Z=+3i


We know that the multiplicative inverse of a complex number Z is .


⇒


Multiplying and dividing with -3i


⇒


⇒


⇒


We know that i2=-1


⇒


⇒


∴ The Multiplicative inverse of +3i is .


More from this chapter

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4

Find the multiplicative inverse of the following complex numbers :

(1 + i √3)2

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Find the multiplicative inverse of the following complex numbers :

4 – 3 i

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If z1 = 2 – i, z2 = 1 + i, find

6

If z1 = 2 – i, z2 = -2 + i, find

i.


ii.