Question

PLEASE HELPPP ASAPP!! Combine and simplify the following radical expression.

Answer 1

After demonstrating the procedure by algebraic means, the expression $(2\sqrt[3]{12} )\cdot (3\sqrt[3]{2} )$ is equivalent to $6\cdot \sqrt[3]{24}$.

In this question we proceed to simplify $(2\sqrt[3]{12} )\cdot (3\sqrt[3]{2} )$ by algebraic means into a single radical expression when possible, whose procedure is shown below and explained by appropriate definitions and theorems:

1. $(2\sqrt[3]{12} )\cdot (3\sqrt[3]{2} )$  Given.
2. $(2\cdot 3) \cdot (\sqrt[3]{12} \cdot \sqrt[3]{2} )$ Commutative property/ Associative property.
3. $6\cdot \sqrt[3]{24}$ Definition of cubic root/$\sqrt[n]{a} = \sqrt[n]{b}$/Result

After demonstrating the procedure by algebraic means, the expression $(2\sqrt[3]{12} )\cdot (3\sqrt[3]{2} )$ is equivalent to $6\cdot \sqrt[3]{24}$.

To learn more on radical expressions, we kindly invite to check this verified question: brainly.com/question/1810591