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A complex number is a number which consists of both real number and an imaginary number. If a number inside a square root is a negative number, then that number is called an imaginary number. Complex calculator is the easy online tool which can calculate complex numbers together.

**Example 1: Give few examples of complex numbers.**

A Complex number consists of a real number and also an imaginary number.

Hence it is of the form **“a + bi”** where ‘a’ is a real number and ‘bi’ is the imaginary number **and i = √-1**

2 + 3i is a complex number since ‘2’ is a real number and ‘3i’ is an imaginary number.

**2 + 3i = 2 + 3√-1** since i = √-1

**Similarly, 6 – 5i, 4 + 13i, 0.2 – 8i etc. are all complex numbers!**

**Example 2: If a – bi = 5 – 8i, then what is the value of ‘a’ and ‘b’?**

**Given equation: a – bi = 5 – 8i**

Here the real part and the imaginary part are together; hence they are complex numbers.

**Now since the two complex numbers are equal to each other, we can compare and equate each term of the equation appropriately.**

’a’ is equal to ‘5’ since both are in the real number part.

’bi’ is equal to ‘8i’ ? b = 8

**Hence a = 5 and b = 8**