Answer: 6 * sqrt(5)
Explanation:
To find the absolute value of a complex number, we need to calculate its distance from the origin on the complex plane. The formula to calculate the absolute value of a complex number is given by:
|z| = sqrt(Re(z)^2 + Im(z)^2)
where Re(z) is the real part of z and Im(z) is the imaginary part of z.
Given z = -6 + 12i, we can calculate its absolute value as follows:
|z| = sqrt((-6)^2 + (12)^2) = sqrt(36 + 144) = sqrt(180) = 6 * sqrt(5)
Therefore, the absolute value of z is 6 * sqrt(5).