Question

Calculate the absolute value of 4 + 7i is equal to the square root of____.

Answer 1

`√(65)`

Explanation:

the absolute value of the complex number a + bi is

| a + bi | =
`√(a^2+b^2)`

then

| 4 + 7i | =
`√(4^2+7^2)` =
`√(16+49)` =
`√(65)`