Evaluate $$ \sqrt[3]{64 x^{3}} $$

Question

UpStudy AI · Accepted Answer

To evaluate the expression, we recognize that the cube root applies to both 64 and x³ separately. Specifically:

∛(64 x³) = ∛(64) × ∛(x³)

Since 64 is 4³, its cube root is 4. Also, the cube root of x³ is x (assuming x is a real number):

∛(64) = 4  
  ∛(x³) = x

Multiplying these results together gives:

4 × x = 4x

Thus, the evaluated expression is 4x.
The evaluated expression is $$ 4x $$.

Evaluate \( \sqrt[3]{64 x^{3}} \)