Question

Simplify radical expression √512k^2

Answer 1

Answer:

$16k\sqrt{2}$

or

$16|k|\sqrt{2}$

Step-by-step explanation:

Assume k is non-negative.

$\sqrt{512k^2} =$

$=\sqrt{256 \times 2} \times \sqrt{k^2}$

$= 16\sqrt{2} \times k$

$= 16k\sqrt{2}$

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

$= 16|k|\sqrt{2}$