# How do you find the absolute value of #1+3i#?

##### 1 Answer

Mar 9, 2018

#### Explanation:

The absolute value of a complex number is its distance from the origin

By Pythagoras' theorem this is the square root of the sum of the squares of the real and imaginary parts.

That is:

#abs(1+3i) = sqrt(1^2+3^2) = sqrt(1+9) = sqrt(10)#