Simplify the expression

Step-by-step explanation:

To rationalize the denominator, we would have to multiply by the complex conjugate of 6 + 2i√5 which is 6 - 2i√5:

The denominator resembles the difference of squares:

6^2 - (2i√5)^2

36 + 20

56

Next we would need to multiply the numerator, but before, notice we can factor out 8 from 8 - 8i√5:

We can cancel that 8 with that 56 in the denominator:

This simplifies to:

which is the same as:

fdvs

step-by-step explanation: vsfdvsfvd