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The multiplicative inverse of 3-4i

Question

The multiplicative inverse of $3 - 4 i$

3 + 4 i

\frac{3 + 4 i}{5}

\frac{3 - 4 i}{25}

\frac{3 + 4 i}{25}

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The multiplicative inverse of

3 - 4 i

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Text solutionVerified

To find multiplicative inverse of

3 - 4 i

we have to find a complex number

^{'} z^{'}

such that

(3 - 4 i) \times z = 1

∴ z = \frac{1}{3 - 4 i}

= \frac{3 + 4 i}{3 ^{2} - ( 4 i ) ^{2}}

= \frac{3 + 4 i}{25}

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Question Text	The multiplicative inverse of $3 - 4 i$
Answer Type	Text solution:1
Upvotes	150