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Multiplicative inverse of 1 + i is ______.
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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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