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Chapter 5: Problem 96

Determine whether each statement makes sense or does not make sense, and explain your reasoning. I rationalized a numerical denominator and the simplified denominator still contained an irrational number.

Short Answer

Expert verified
The statement does not make sense. Once you rationalize a denominator, the denominator should not contain any irrational number.

Step by step solution

01

Understand the properties

Rationalizing a denominator means that all irrational elements within the denominator, such as square roots or cube roots, are removed. Thus, by definition, when the denominator of a fraction is rationalized, it should not contain any irrational numbers.
02

Analyze the declaration

The statement declares 'I rationalized a numerical denominator and the simplified denominator still contained an irrational number.' This does not make sense. After rationalizing the denominator the output should not contain irrational numbers by definition.

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Most popular questions from this chapter

Write the first six terms of the geometric sequence with the first term, \(a_{1}\), and common ratio, \(r\). \(a_{1}=3000, r=-1\)

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