About Iota

The alphabet ‘i’ is known as iota. The value  ‘i’ is √-1. It is basically used to denote imaginary numbers. Values of iota are

  1. i2 = -1
  2. i3 = -i
  3. i4 = 1

How to distribute complex numbers?

Complex numbers are used to find the square root of negative numbers. It comprises the real and imaginary parts. The complex number is of the form a + ib where a is the real part and b is the imaginary part. The real part of the complex number is any number and is represented by Re(z) where ‘z’ is any complex number. The imaginary part of the complex number comprises any number multiplied with ‘i’, The ‘i’ stands for iota. The complex numbers cannot be represented on the number line. They are represented on a plane called Argand Plane. For example: Let z = 3 + 5i. Here Re(z) = 3 and Im(z) = 5.

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About Iota

The alphabet ‘i’ is known as iota. The value  ‘i’ is √-1. It is basically used to denote imaginary numbers. Values of iota are...

Operations on Complex Numbers

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How to Distribute Complex Numbers?

Distributing means dividing. Complex numbers satisfy the distributive property. The property states that if we multiply a complex number by the sum of two complex numbers it will be the same as multiplying the complex number with each complex number separately and then adding the result. Let (a + ib), (c + id) , (x + iy) be three complex numbers. Therefore the distributive Property is (a + ib) × {(c+id) + (x + iy)} = {(a + ib)×(c + id)} + {(a + ib)×(x + iy)}. Let us illustrate it  with the help of an example...