# Multiplicative inverse of 1 + i is ______. - Mathematics

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Multiplicative inverse of 1 + i is ______.

#### Solution

Multiplicative inverse of 1 + i is underlinebb(1/2 (1 - i)).

Explanation:

Multiplicative inverse of 1 + i = 1/(1 + i)

= (1 xx (1 - i))/((1 + i)(1 - i))

= (1 - i)/(1 - i^2)

= (1 - i)/(1 + 1)

= 1/2(1 - i)

Concept: Algebraic Operations of Complex Numbers
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#### APPEARS IN

NCERT Mathematics Exemplar Class 11
Chapter 5 Complex Numbers and Quadratic Equations
Exercise | Q 25.(v) | Page 93

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