Question

What is the modulus of `6 + 7i`?

Answer 1

`sqrt(85)`

Explanation:

The modulus is the absolute value of the complex number:

`|a+bi|=sqrt(a^2+b^2)`

In this case modulus `=|6+7i|=sqrt(6^2+7^2)=sqrt(36+49)=sqrt(85)`