Q. 2 E4.8( 5 Votes )

# Simplify each of the following and express it in the form (a + ib) :

(4 – 3i)^{–1}

Answer :

Given: (4 – 3i)^{-1}

We can re- write the above equation as

Now, rationalizing

…(i)

Now, we know that,

(a + b)(a – b) = (a^{2} – b^{2})

So, eq. (i) become

[∵ i^{2} = -1]

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