# How do you simplify sqrt(512k²)?

Oct 14, 2015

16√2k

#### Explanation:

First use the distributive property and split the root.
√512 x √k^2

So √k^2 = k

Since 512 is a cube number rather than a square number, if halved it's equal to 256.
So again split it...
√(256x2)

And now...
√256x√2

Therefore = 16√2k