Question

Simplify the expression. √-49/(3+4i)-(2-5i). The i is the imaginary #.

Answer 1

take 7 out and it becomes 7i, and multiply the denominator by it's conjugate 3-4i .. and also on numerator .. and simpify it

Answer 2

There's a minus sign between the two complex terms. So it seems to me that you want to simplify the denominator first before multiplying by a conjugate.

This is how I would do it.

\[\sqrt{-49}/(3+4i)-(2-5i)\]\[7i/(3-2)+(5i+4i)\]\[7i/1+9i\] multiply by the conjugate (1-9i)\[7i(1-9i)/(1+9i)(1-9i)\]\[63+7i/82\]