The square of is sometimes called the absolute square . There are always two real roots of a positive number. The square root of any negative number is the square root of its absolute value multiplied by an imaginary unit j = √−1. If we have any complex number in the form equals plus , then the modulus of is equal to the square root of squared plus squared. This is the currently selected item. Then, |z| = Sqrt(3^2 + (-2)^2 ). Because of the fundamental theorem of algebra, you will always have two different square roots for a given number. A reader challenges me to define modulus of a complex number more carefully. The absolute value of a sum of two numbers is less than or equal to the sum of the absolute values of two numbers [duplicate] Ask Question Asked 4 years, 8 months ago. 9.Identify the set of all complex numbers zsuch that 1

square of modulus of sum of two complex numbers 2021