8−i / 3−2i
If the expression above is rewritten in the form a+bi, where a and b are real numbers, what is the value of a? (Note: i=√−1)

2

Explanation:

We have the expression . In order to simplify this, we need to multiply the bottom and top by the denominator's conjugate. The conjugate of a complex number a + bi is just a - bi. Here, the conjugate of 3 - 2i is 3 + 2i. So:

a is the real part of a complex number, so here, a = 2.

Hope this helps!