Question

How do you simplify `xsqrt(32x) + sqrt(128x)^3`?

Answer 1

We allways try to take squares out of the root.

You may have noticed that `32=2*16=2*4^2`
And that `128=2*64=2*8^2`
And that `x^3=x*x^2`

If we take these squares out, we get:

`xsqrt(32x)+sqrt(128x^3)=`

`4xsqrt(2x)+8xsqrt(2x)=`

`12sqrt(2x)`