Question

PLEASE HELP ME ASAP I WILL GIVE BRAINLIEST

Answer 1

Answer: 2√37

Find modulus by adding squares of given values and then take square root of thier sum. It is further explained in picture. If you have any problem then ask me on insta: ramanimunesh. Thankyou

Answer 2

Answer:

2√37

Step-by-step explanation:

Given some complex number z, |z| is what's called magnitude of a complex number -- its distance from 0. Unlike the more straightforward process of finding the absolute value of a real number (a number on the number line) complex numbers are two-dimensional, and so to talk about their magnitude, we need to bring in the Pythagorean theorem.

The real and imaginary part of the complex number 12 - 2i represent the point (12, -2) on the complex plane. Drawing lines perpendicular to the real and imaginary axes and joining them with a line from the origin to the point gives us a right triangle with legs 12 and 2. Using the Pythagorean theorem, the hypotenuse, |12 - 2i|, must be equal to $\sqrt{12^2+2^2}=\sqrt{148}$. We can pull a 4 out of the 148 to give us

$\sqrt{4\cdot37}=\sqrt{4}\sqrt{37}=2\sqrt{37}$