math

posted by .

Simplify: (1+i)/(2-i)

A)(1/3)+(2/3i)
B)(1/5)+(2/5i)
C)(1/3)+(i)
D)(1/5)+(3/5i)
I have no clue please explain

  • math -

    similar to "rationalizing the denominator"

    Multiply top and bottom by 2+i and remember that i^2 = -1
    (1+i)/(2-i) x (2+i)/(2+i)
    = (2+i+2i+i^2)/(4-i^2)
    = (2+3i-1)/(4-(-1))
    = (1+3i)/5

  • math -

    btw, the choice that fits my answer would be D, they simply split it into 2 parts.
    I don't know why they would do that

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. the big idea of energy

    i have to do an assesment about sound. i have to include the big idea of energy. i have no clue what it is! HHEELLPP MMEE!! What do you mean when you say "the big idea of energy"?
  2. math,correction

    Can someone help me with these...plz Simplify 2radical (12) + 4 radical (27) if i simplify radical (12) i get 2radical (3) then if i simplify radical (27) i get 3radical (3). so now i don't know if i'm doing this correctly or how to …
  3. Algebra

    Simplify: (1+i)/(2-i) A)(1/3)+(2/3i) B)(1/5)+(2/5i) C)(1/3)+(i) D)(1/5)+(3/5i) I have no clue
  4. math 117

    Is this right (3 x 10^4)(2 x 10^2) = 6.0 x 10^6, can someone please explain : ) I have no clue...
  5. algebra 1A

    HELP ME.simplify{[4(z-4)+18]-[3(2z-2)+4]} 6{[4(z-4)+18]-[3(2z-2)+4]} simplify your answer. can someone help me please I have no clue. thank you
  6. math

    I HAVE TWO QUESTIONS: I HAVE TO MULTIPLY AND SIMPLIFY AND I HAVE NO CLUE HERE ARE THE PROBLEMS: 1. 7a-21a^2/9a^2+6a+1 x 9a^2+6a+1/9a^2-1 2. 2a+2/8a+24 x 4x+12/2x^2-2
  7. 5th grade Math

    Clue 1: i am greater than 100,000, but less than 120,000. Clue 2: I am divisible by 3. Clue 3: The sum of my digits is 6. Please expalin answer. Thank you.
  8. Math 141

    I am having trouble with this problem. perform the indicated operations and simpily the result as much as possible a) (3x - 2) (x^2 + 2x - 4 ) the answer i got so far is 3x^3 + 4x^2 -16x + 8. Am i done or i have to conitnue to simplify?
  9. math

    the sex of to domain species is unknown but they each have a probability of X and -5 what does x equal and what is the domain species?
  10. Algebra

    Simplify the expression -5+i/2i I typed this problem into mathway and they told me the answer was 1/2+5i/2 but wouldn’t show me how they got it. They said to (“multiply by the conjugate and simplify”) but I have no clue on what …

More Similar Questions