Q3 of 202 Page 171

Express each of the following in the form (a + ib):

Given:

Solving the denominator, we get

Now, we rationalize the above by multiplying and divide by the conjugate of 6 + 2i

…(i)

Now, we know that,

(a + b)(a – b) = (a² – b²)

So, eq. (i) become

[∵ i² = -1]

Express each of the following in the form (a + ib):