Modulus of compley number

Question

Find the modulus of the complex number z=-1+i.

 

a. 2

b. 0

c. 1

d. √2

 

Please show step by step work to solution and provide final answer. Please and Thank You!

Answer 1

z = x + iy

 

|z| = √(x² + y²)

 

x = -1

y = 1

 

|z| = √[(-1)² +(1)²] = √2

 

The correct answer is (d).