Simplify a sqrt trinomial

Hey guys. I am really stuck on this problem. I have looked everywhere for help so hopefully you guys can help me out on this. The problem is to

Simplify sqrt 2x (sqrt x - 8 sqrt 2)

The basic forumla is like

 sqrt x^2 (2 sqrt x - 6) //equation to start with
 x (2 sqrt x - 6) //next step
 2x sqrt x - 6x //divide both sides by 2x
 sqrt x - 3 //the simplified answer

I could follow that formula but the equation I have is a bit different as it has sqrt 2x instead of sqrt x^2.


Thanks!

sqrt 2x (sqrt x - 8 sqrt 2)

sqr(2x) = sqr(2)sqr(x)

so just expand the brackets:

sqr(2)*sqr(x)*sqr(x) - 8*sqr(2)*sqr(2)*sqr(x)

sqr(2)*x - 16*sqr(x)

cool thanks! :wave: