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justaguide eNotes educator| Certified Educator

The modulus of z = 1 - i has to be determined.

For a complex number z = a + i*b, |z| = `sqrt(a^2 + b^2)`

For z = 1 - i

|z| = `sqrt(1^2 + (-1)^2)`

= `sqrt(1 + 1)`

= `sqrt 2`

The modulus of z = 1 - i is `sqrt 2`