Determine the modulus of each of the complex numbers in the matching pairs. List these moduli in order from smallest to largest. Use the letters of the matching pair in your listing.
(here are the pairs)
A – J = 2+6i
B – F = 75
C – H = -3-i
D – I = 1+i
E – G = 5+5i

Answer:

Respuesta :

The moduli in order from smallest to largest will be 1.414,3.16,6.32,7.07,75. Modulus is always a positive data.

What is complex number ?

A complex number is a part of a number system that includes the real numbers as well imaginary unit.

The modulus of the complex numbers is found as;

1 . A – J = 2+6i

[tex]\rm Z= \sqrt{x^2+Y^2} \\\\ Z= \sqrt{2^2+6^2} \\\\ Z=6.32[/tex]

2. B – F = 75

Z=75

3. C – H = -3-i

[tex]\rm Z= \sqrt{(-3)^2+(-1)^2} \\\\ Z= \sqrt{10} \\\\ Z=3.16[/tex]

D – I = 1+i

[tex]\rm Z= \sqrt{1^2+1^2 } \\\\ Z= \sqrt{2} \\\\\ Z=1.414[/tex]

E – G = 5+5i

[tex]\rm Z= \sqrt{5^2+5^2} \\\\ Z=7.07[/tex]

Hence, the moduli in order from smallest to largest will be 1.414,3.16,6.32,7.07,75.

To learn more about the complex number, refer to the link;

https://brainly.com/question/10251853

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