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Helen [10]
2 years ago
12

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

Mathematics
1 answer:
Greeley [361]2 years ago
7 0

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

In this question we proceed to <em>simplify</em> (2\sqrt[3]{12} )\cdot (3\sqrt[3]{2} ) by <em>algebraic</em> means into a <em>single</em> <em>radical</em> 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} ) <em>is equivalent to</em> 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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Explanation:

A function is a relationship where any one x-value/input only has <u>one </u>corresponding y-value/output. (note: a y-value can have multiple x-values).

> This can be called "assigning one y-value to every x element".

The vertical line test places a line that would connect all y-values of an x-value (that is, if it were to have multiple y-values). If multiple points can be found along the vertical line, it is, therefore, by the definition of a function, not a function. (Because an x-value will have more than one y-value).

So, a graph that fails the vertical-line test does not represent a function because an x-value will correspond with more than one y-value.

hope this helps!!

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