# Imaginary numbers

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

Correct result:

Sum =  0

#### Solution:

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.

$ie... \{ 3i; -3i \} \ \\ \Sigma = 3i + (-3i ) = 0$ Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!

Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...):

Showing 1 comment: Dr Math
add up a number and its conjugate Tips to related online calculators

## Next similar math problems:

• Linear imaginary equation Given that ? "this is z star" Find the value of the complex number z.
• The modulus Find the modulus of the complex number 2 + 5i
• Bearing A plane flew 50 km on a bearing 63°20' and the flew on a bearing 153°20' for 140km. Find the distance between the starting point and the ending point.
• Moivre 2 Find the cube roots of 125(cos 288° + i sin 288°).
• Is complex Are these numbers 2i, 4i, 2i + 1, 8i, 2i + 3, 4 + 7i, 8i, 8i + 4, 5i, 6i, 3i complex?
• Goniometric form Determine goniometric form of a complex number ?.
• Im>0? Is -10i a positive number?
• Complex number coordinates Which coordinates show the location of -2+3i
• ABS CN Calculate the absolute value of complex number -15-29i.
• De Moivre's formula There are two distinct complex numbers z such that z3 is equal to 1 and z is not equal 1. Calculate the sum of these two numbers.
• Log Calculate value of expression log |3 +7i +5i2| .
• Reciprocal Calculate reciprocal of z=0.8-1.8i: A domed stadium is in the shape of spherical segment with a base radius of 150 m. The dome must contain a volume of 3500000 m³. Determine the height of the dome at its centre to the nearest tenth of a meter.