Question

find the modulus of the complex number z=2-√5i​

Answer 1

Answer:

√9

Step-by-step explanation:

the modulus of the complex number z=2-√5i is

√4+5

√9

Answer 2

Given:

z=2-√5i

To Find:

The modulus of z=2-√5i

Solution:

Any complex number is in the form of z = x+it

where, x = 2, y = -√5i

Modulus of a complex number,

$|z| = \sqrt{ {x}^{2} + {y}^{2} }$

$|2-√5i| = \sqrt{ {2}^{2} + {( - \sqrt{5)} }^{2} }$

${2}^{2} = 4 \\ \\ ( { - \sqrt{ 5} })^{2} = 5$

|2-√5i| =

$|2-√5i| = \sqrt{4 + 5}$

= √9 = 3

The modulus of the complex number z=2-√5i is 3.