# SOLUTION: The expression: 2+i/3+i is equivalent to? a)6+5i/8 b)6+i/8 c)7-5i/10 d)7+i/10

Algebra ->  Algebra  -> Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: The expression: 2+i/3+i is equivalent to? a)6+5i/8 b)6+i/8 c)7-5i/10 d)7+i/10       Log On

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 Algebra: Complex Numbers Solvers Lessons Answers archive Quiz In Depth

 Question 65864: The expression: 2+i/3+i is equivalent to? a)6+5i/8 b)6+i/8 c)7-5i/10 d)7+i/10 Answer by ptaylor(2052)   (Show Source): You can put this solution on YOUR website!The expression: 2+i/3+i is equivalent to? First multiply the numerator and denominator by 3-i, the conjugate of 3+i. Now we are multiplying by(3-i)/(3-i) which equals 1 ((2+i)(3-i))/((3+i)(3-i)) and this equals: (6+3i-2i-i^2)/(9+3i-3i-i^2) and this equals: (7+i)/10 which is d) Note: -i^2=-(sqrt(-1))^2=-(-1)=+1 Hope this helps---ptaylor