Which of the following is an example of a rational number?

Mathematics

1 answer:

ivolga24 [154]3 years ago

6 0

<h3>Answer: Choice B</h3>

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Explanation:

Using your calculator, you should find that

sqrt(125) = 11.1803 approximately
sqrt(196) = 14 exactly
sqrt(207) = 14.387 approximately
sqrt(220) = 14.832 approximately

Each approximate result has its decimal digits go on forever without any pattern. So we cannot write those values as a fraction of two integers. The decimal expansion must have some kind of pattern that repeats forever, so we could consider it rational.

Only choice B results in a whole number. The value 14 is the same as 14/1, showing it can be written as a fraction of two integers. Therefore choice B is rational.

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Step-by-step explanation:

(Cot t) (Sin t)/(Cos t)

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