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:

$(2\sqrt[3]{12} )\cdot (3\sqrt[3]{2} )$ Given.
$(2\cdot 3) \cdot (\sqrt[3]{12} \cdot \sqrt[3]{2} )$ Commutative property/ Associative property.
$6\cdot \sqrt[3]{24}$ 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

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2 years ago

What is the answer of this questoin 2c-3b+6+7b-2b+11?

Katena32 [7]

Answer:

$2c+2b+17$