# How do you simplify #sqrt(512k²)#?

##### 1 Answer

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