+0  
 
+1
440
3
avatar

Simplify $\sqrt[3]{x \sqrt[3]{x}}$.  Express your answer in simplest radical form in terms of x.

 Apr 4, 2021
 #1
avatar+37146 
+1

( x * x1/3 )1/3

(x4/3)1/3

x4/9

 Apr 4, 2021
 #3
avatar+487 
0

@ElectricPavlov Nice solution! However, I believe the asker requested the answer in "simplest radical form".

RiemannIntegralzzz  Apr 4, 2021
 #2
avatar+487 
+1

Moving everything inside the outer radical into the inner radical, we get $\sqrt[3]{\sqrt[3]{x^4}}$. Simplifying square roots, you get $\boxed{\sqrt[9]{x^4}}$

 Apr 4, 2021

0 Online Users