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Irrational Numbers

What can you ...

Question

What can you say about the product of a rational and an irrational number ?

A

Always rational

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B

Always irrational

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C

rational or irrational

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D

cannot be determined

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Solution

The correct option is C
rational or irrational

$2 \times \frac{\sqrt{3}}{2} = \sqrt{3}$ which is irrational

$0 \times \frac{\sqrt{3}}{2} = 0$ which is rational

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Q. The product of a non-zero rational number and an irrational number is
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Q. Which of the following statements is true?
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Product of a rational and irrational number is always irrational.

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