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Which number produces an irrational number when multipled by 1/4

1 Answer

5 votes

Answer: Any irrational number

Explanation:

An irrational number is a number that cannot be expressed as a fraction of two integers where the denominator is different from zero, it is also characterized by the fact that its decimal expression is neither exact nor periodic.

As an example of this we have
\pi = 3.141592653 ...

On the other hand, it is necessary to know the following:

-The multiplication of two rational numbers results in a rational number.

-The multiplication of a rational number by any irrational number results in an irrational number.

This means that if we multiply 1/4 (which is rational) by any irrational number, the result will be irrational.

Therefore, the answer is: Any irrational number.

User Manuel Montero
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