Simplifying the expression

[spacewater]

problem
\(\displaystyle \sqrt{(8x^3)}+\sqrt{2x}\)
step
\(\displaystyle 2\sqrt{(2x^3)}+\sqrt{2x}\)

shouldn't this be the final answer ? Can someone explain to me what i did wrong here?

 

[Ted]

problem
\(\displaystyle \sqrt{(8x^3)}+\sqrt{2x}\)
step
\(\displaystyle 2\sqrt{(2x^3)}+\sqrt{2x}\)

shouldn't this be the final answer ? Can someone explain to me what i did wrong here?

You were smart to realize that 8 = 4*2, and then you could pull the 4 outside the square root sign. Try doing the same with the x^3 term (i.e., break it up into x*x^2)