Question

the modulus of a complex number 4-7i

Answer 1

The modlus of complex number repersent its dindance from origin in Argan plane Therfore its value is√65

Answer 2

Answer:

$\text{The modulus of 4 - 7i will be}\sqrt{65}$  

Step-by-step explanation:

Given the complex number 4-7i

we have to find the modulus of complex number.

As we know the modulus of complex number a+ib can be calculated as

$|Z|=\sqrt{(Real \thinspace Part)^2+(Imaginary \thinspace Part)^2}$

$|Z|=\sqrt{a^2+b^2}$

The modulus of complex number 4-7i can be calculated as

$|4-7i|=\sqrt{4^2+(-7)^2}=\sqrt{16+49}=\sqrt{65}$

$\text{Hence, the modulus of 4 - 7i will be}\sqrt{65}$