Question

Given z=4+3i evaluate z​

Answer 1

5

Explanation:

Assuming we want to evaluate |z|, given that, z=4+3i.

Then, by definition of modulus,

`|x + yi| = \sqrt{ {x}^(2) + {y}^(2) }`

`|4+ 3i| = \sqrt{ {4}^(2) + {3}^(2) }`

`|4+ 3i| = √( 16+ 9 ) \\ |4+ 3i| = √(25 ) \\ |4+ 3i| = 5`

Therefore the modulus be of the given complex number is 5 units