Question

Determine the absolute value of the complex number colon open vertical bar 6 straight i close vertical bar

Answer 1

√37 ≈ 6.083

Explanation:

You want the modulus of the complex number 6 -i.

Modulus

The modulus of a number is written using absolute value bars:

|6 -i|

The modulus of a complex number is the root of the sum of the squares of the real and imaginary parts:

|6 -i| = √(6² +(-1)²)

|6 -i| = √37 ≈ 6.083