What is z given z 3 sqrt2 iSolutionThe problem requests for

What is |z| given z = 3+ [sqrt2] *i?

Solution

The problem requests for you to evaluate the absolute value of complex number, hence, you need to use the following formula, such that:

[|z| = sqrt(x^2 + y^2)]

Identifying the real part [x] and imaginary part [y] , yields:

[x = 3 => x^2 = 9]

[y = sqrt2 => y^2 = 2]

Replacing [9] for [x^2] and [2] for [y^2] yields:

[|z| = sqrt(9 + 2) => |z| = sqrt11]

Hence, evaluating the absolute value of the complex number z, yields [|z| = sqrt11.]