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The multiplicative inverse of a complex number is found by taking the complex conjugate of the number and dividing by the square of its magnitude. For the complex number 3-i, the complex conjugate is 3+i. The magnitude of 3-i is sqrt(3^2 + (-1)^2) = sqrt(9 + 1) = sqrt(10). Therefore, the multiplicative inverse of 3-i is (3+i) / 10.

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3+i/10

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Wiki User

12y ago
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Q: What is the multiplicative inverse of 3-i?
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