Evaluate the expression

(40/2+i) + (35/2-i). What steps do I take in order to find this answer?

1 answer

Are the 2+i and 2-1 in the denominators? If so, you should put parentheses around them to avaoid confusion.

Assuming that is what you meant: Multiply the numerator AND denominator of the first term by 2-i and of the second term by 2+i. This will not change the value of either term, but will give you a common real denominator.

[40(2-i) + 35(2+i)]/(2^2 - i^2)
= (150 -5i)/5
= 30 - i