Question

modulus of complex number of 3+4 i iota​

Answer 1

Answer:

|z| = 5

Step-by-step explanation:

Given that the complex number is z = 3 + 4i.

The modulus of the complex number is it's distance from origin in argànd plane.

The coordinates in argànd plane will be (3, 4).

Therefore using distance formula:

$\sf |z| = \sqrt{3^{2} + {4}^{2} }$

$\sf |z| = \sqrt{9 + 16 }$

$\sf |z| = \sqrt{25}$

$\sf |z| = 5$

Hence the modulus of given complex number is 5.

Additional Information:

For any complex number of the form z = a + ib, it's modulus is given by,

|z| = √a² + b²

You can also solve the given question using this concept.