Question

How do you simplify `abs(15 + 7i )`?

Answer 1

`abs(15+7i) = sqrt(274)`

Explanation:

`abs(15+7i) = sqrt(15^2+7^2) = sqrt(225+49) = sqrt(274)`

The prime factorisation of `274` is:

`274 = 2 * 137`

With no square factors we can deduce that `sqrt(274)` is in simplest form.