What is the modulus of z? 2 2StartRoot 2 EndRoot 3 StartRoot 10 EndRoot
Mathematics
josephmiguelnunez
Question
What is the modulus of z? 2 2StartRoot 2 EndRoot 3 StartRoot 10 EndRoot
1 Answer

1. User Answers abidemiokin
The modulus of the complex number is 5.
The value of z is a complex number with a real and imaginary value. Let's assume the complex number z is given as:
[tex]z = 3 + 4i[/tex]
The modulus of the complex number is given as:
[tex]z=\sqrt{x^2+y^2}[/tex]
From the given complex number:
 x = 3
 y = 4
Substitute into the formula:
[tex]z=\sqrt{3^2+4^2}\\z=\sqrt{9+16} \\z=\sqrt{25}\\z=5[/tex]
Hence the modulus of the complex number is 5.
Note that the complex number was assumed.
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