Imaginary numbers

Find two imaginary numbers whose sum is a real number. How are the two imaginary numbers related?
What is its sum?

Correct answer:

Sum =  0

Step-by-step explanation:

Answer is a conjugate pair of imaginary numbers (its real parts is zero).
The two imaginary numbers that add up to a real number would be ni and -ni, because ni + (-ni) = ni - ni = 0; where 'n' is any real number, no zero. Thus, the sum of this two imaginary numbers become a real number 0.

ie...{3i;3i} Σ=3i+(3i)=0

We will be pleased if You send us any improvements to this math problem. Thank you!

Showing 1 comment:
Dr Math
add up a number and its conjugate


Tips to related online calculators

You need to know the following knowledge to solve this word math problem:

Related math problems and questions:

  • Linear imaginary equation
    cplx_function Given that 2(z+i)=i(z+i) "this is z star" Find the value of the complex number z.
  • De Moivre's formula
    sqrt3_complex There are two distinct complex numbers z, such that z3 is equal to 1 and z is not equal to 1. Calculate the sum of these two numbers.
  • The modulus
    abs_value Find the modulus of the complex number 2 + 5i
  • Is complex
    cplx Are these numbers 2i, 4i, 2i + 1, 8i, 2i + 3, 4 + 7i, 8i, 8i + 4, 5i, 6i, 3i complex?
  • Find the sum
    arithmet_seq_2 Find the sum of all natural numbers from 1 and 100, which are divisible by 2 or 5
  • Three numbers
    numbers_9 Find three numbers so that the second number is 4 times greater than the first and the third is lower by 5 than the second number. Their sum is 67.
  • Fractions mul add sum
    fractions_3 To three-eighths of one third, we add five quarters of one half and multiply the sum by four. How much will we get?
  • Linear combination of complex
    cplx_function If z1=5+3i and z2=4-2i, write the following in the form a+bi a) 4z1+6z2 b) z1*z2
  • Three numbers
    dices2_9 We have three different non-zero digits. We will create all 3 digits numbers from them to use all 3 figures in each number. We add all the created numbers, and we get the sum of 1554. What were the numbers?
  • Sum of odd numbers
    seq_sum Find the sum of all odd integers from 13 to 781.
  • David number
    numbers2_4 Jana and David train the addition of the decimal numbers so that each of them will write a single number and these two numbers then add up. The last example was 11.11. David's number had the same number of digits before the decimal point, the Jane's numbe
  • Two numbers
    scientific_2 Find the four times smaller number for numbers 12 and 36 and then add them.
  • ABS CN
    complex_num Calculate the absolute value of complex number -15-29i.
  • Goniometric form
    complex_fnc Determine the goniometric form of a complex number ?.
  • The sum
    seq_sum The sum of the first 10 members of the arithmetic sequence is 120. What will be the sum if the difference is reduced by 2?
  • The sum
    eq222_1 The sum of the squares of two immediately following natural numbers is 1201. Find these numbers.
  • Sum 1-6
    seq_sum Find the sum of the geometric progression 3, 15, 75,… to six terms.