You need to evaluate the absolute values of both complex numbers, using the following formula, such that:

`|z| = sqrt(x^2 + y^2)`

x represents the real part

y represents the imaginary part

Identifying the real and imaginary parts of the first complex number `z = 1 + sqrt3*i` , yields:

`x = 1, y = sqrt3 =>|z| = sqrt(1^2 + (sqrt3)^2) =>|z| = sqrt4 =>|z| = 2`

Identifying the real and imaginary parts of the next complex number `z = 1 - sqrt3*` i, yields:

`x = 1, y = -sqrt3 => |z| = sqrt(1^2 + (-sqrt3)^2) =>|z| = sqrt4 =>|z| = 2`

**Hence, evaluating the absolute values of both given complex numbers yields that they have equal values, `|z| = 2` .**

**Further Reading**

## We’ll help your grades soar

Start your 48-hour free trial and unlock all the summaries, Q&A, and analyses you need to get better grades now.

- 30,000+ book summaries
- 20% study tools discount
- Ad-free content
- PDF downloads
- 300,000+ answers
- 5-star customer support

Already a member? Log in here.

Are you a teacher? Sign up now