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1 vote
Must the difference between two rational numbers be a rational number? Explain.

asked
User Edharned
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2 Answers

5 votes

The correct answer is:

Yes, it must.

Step-by-step explanation:

Rational numbers are closed under subtraction. This means that if you subtract two rational numbers, your answer will also be a rational number.

The only way you could have two rational numbers and end with a result that is not a rational number is to take the square root of at least one of them. Depending on the digits in the numbers, this would result in an irrational number.

answered
User Phelhe
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8.5k points
5 votes
No, because when you have your problem it can be less or more so it can't always be the same. Hope I helped.
answered
User Luvnish Monga
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7.7k points

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