Question

How do you find `abs( 4+7i )`?

Answer 1

The absolute value of `4 + 7i` is `sqrt65`.

Explanation:

The absolute value of a complex number in the form `a + bi` is found using this process: `sqrt(a^2 + b^2)`.

So, given `z = |4 + 7i|`,

`|z| = sqrt(4^2 + 7^2)`
`|z| = sqrt(16 + 49)`
`|z| = sqrt65`