(8+sqrt 2 i)/7-6i=??
Simplify your answer. Type your answer in a+bi. use integers or fractions for any numbers in the expression.
\((8+\sqrt 2i)\over 7-6i \)
8+sqrt 2 i)/7-6i=??
9/7 - (41 i)/7
Multiply top and bottom by the conjugate of 7 - 6i = 7 + 6i and we have
[ 8 + sqrt(2)i] [ 7 + 6i] / ( [7 - 6i] [7 + 6i] ) =
[56 + 7sqrt(2)i + 48i - 6sqrt(2)] / [49 - 36i^2 ] =
[56 + 7sqrt(2)i + 48i - 6sqrt(2)] / 85