Question

Simplify radical expression √512k^2

Answer 1

`16k√(2)`

or

`16|k|√(2)`

Explanation:

Assume k is non-negative.

`√(512k^2) =`

`=√(256 * 2) * √(k^2)`

`= 16√(2) * k`

`= 16k√(2)`

If you do not assume k is non-negative, then you must use absolute value, and you get:

`= 16|k|√(2)`