Answer
[tex]\frac{x^{2} \sqrt{x} }{3}[/tex]
Step-by-step explanation:
first off rt(2x^5) can be simplified as x^2 rt(2x) because we can break up x^5 into x^4 * x. x^4 is a perfect square so factor out a x^2.
the denominator [tex]\sqrt{18}[/tex] can be written as [tex]3\sqrt{2}[/tex] since the factors of 18 involve a perfect square of 9. 9*2 is 18 so factor out a 3.
the whole fraction :
[tex]\frac{x^{2} \sqrt{2x} }{3\sqrt{2} }[/tex]
cancel out the [tex]\sqrt{2}[/tex] and you are left with [tex]\frac{x^{2} \sqrt{x} }{3}[/tex]
