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The multiplicative inverse of 3 – 4i is
  • a)
    (3 + 4i)/25
  • b)
    3 + 4i
  • c)
    -3 + 4i/5
  • d)
    -3 + 4i
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The multiplicative inverse of 3 – 4i isa)(3 + 4i)/25b)3 + 4ic)-3...
Complete answers is in 3 steps:
1. Conjugate = 3+4i
2. Modulus = √3^2 + 4^2 =5
3. Multiplicative inverse = conjugate/square of modulus = 3+4i/5^2 = 3+4i/25
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The multiplicative inverse of 3 – 4i isa)(3 + 4i)/25b)3 + 4ic)-3...
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Community Answer
The multiplicative inverse of 3 – 4i isa)(3 + 4i)/25b)3 + 4ic)-3...
The multiplicative inverse of 3 is 1/3 or 0.3333 (repeating). This is because when 3 is multiplied by its multiplicative inverse, the result is 1:

3 x 1/3 = 1

Similarly, any number multiplied by its multiplicative inverse results in 1.
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The multiplicative inverse of 3 – 4i isa)(3 + 4i)/25b)3 + 4ic)-3 + 4i/5d)-3 + 4iCorrect answer is option 'A'. Can you explain this answer?
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