Question

find the modulus of Z=-3-9i​

Answer 1

Modulus of a complex number is

$\sqrt{ {x}^{2} + {y}^{2} }$

Here,

x = -3 and y = -9

Now,

Put these values:

$|z| = \sqrt{ {( - 3)}^{2} + {( - 9)}^{2} }$

$= > |z| = \sqrt{9 + 81}$

$= > |z| = \sqrt{90}$

$= > |z| = 3 \sqrt{10}$

Hence, this is your answer.