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1 vote
Given, find |z|. z=-6+12i

User Juan Park
by
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1 Answer

1 vote

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).

User Blasio
by
7.6k points

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