SOLUTION: Write the expression as a complex number in standard form. 7+7i/6+i Answer choices: a.) 7/6 +7i b.) 7/5 +i c.) 35/37 + 49/37 i d.) 49/37 + 35/37 i

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: Write the expression as a complex number in standard form. 7+7i/6+i Answer choices: a.) 7/6 +7i b.) 7/5 +i c.) 35/37 + 49/37 i d.) 49/37 + 35/37 i       Log On


   

Question 811756: Write the expression as a complex number in standard form. 7+7i/6+i
Answer choices:
a.) 7/6 +7i
b.) 7/5 +i
c.) 35/37 + 49/37 i
d.) 49/37 + 35/37 i


Answer by erica65404(394) About Me  (Show Source):
You can put this solution on YOUR website!
standard form is a+bi
The first thing you want to do is rationalize the denominator
%287%2B7i%29%2F%286%2Bi%29+%2A+%286-i%29%2F%286-i%29
%2842-7i%2B42i-7i%5E2%29%2F%2836-i%5E2%29
%2842%2B35i%2B7%29%2F%2836%2B1%29
%2849%2B35i%29%2F%2837%29
now put it in standard form.
49%2F37+%2B+35%2F37%2Ai
Your answer would be d).