Question

what is the absolute value of the number?
3+i

Answer 1

sqrt( 3^2 + 1^2 ) = sqrt(10)

Answer 2

maybe you should call it modulus, absolute value might not make sense

Answer 3

interesting... thank you.

Answer 4

but, basically you are asking what is the distance of this complex number if we plot it

Answer 5

you can plot 3 + i , on a complex plane where the x axis is real , the y axis is imaginary. the complex number 3 + i will have coordinates (3,1).

Answer 6

now what is the distance of this point (3,1) from the origin (0,0)

Answer 7

In general the complex number a + bi has coordinates (a,b) ,
here 3 + i = 3 + 1*i
so it has coordinates (3,1)