Question

The amplitude of 2-root7 is?​

Answer 1

Considering the question to be:

The amplitude of 2-i root7 is?​

Given:

The complex number 2-root7

To find:

The amplitude of 2-i root7 is?​

Solution:

From given, we have,

The complex number 2 - iroot7

considering the complex number to be,

z = x + i y

The amplitude of the complex number is given by,

|z| = √[x² + y²]

From given, we have,

x = 2 and y = -√7

so, the amplitude of a complex number is given by,

|z| = √[(2)² + (-√7)²]

|z| = √[4 + 7]

|z| = √11

Therefore, the amplitude of 2-i root7 is √11