The addition or subtraction of a rational and an irrational number

is always a rational number

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is always an irrational number

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can be rational or irrational number

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Solution

The correct option is B is always an irrational number
The addition of a rational number and an irrational number is always an irrational number.]
Example: $2 + \sqrt{3}, 3 + 2 \sqrt{2}$ are irrational numbers.

The difference of a rational number and an irrational number is always an irrational number.
Example: $2 - \sqrt{3}, 3 - 2 \sqrt{2}$ are irrational numbers.

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Similar questions

Which one of the following is correct and which one is not correct? Give reasons.

1) If 'a' is a rational number and 'b' is irrational, then a+b is irrational.

2) The product of a non-profit rational number with an irrational number is always irrational.

3) Addition of any two irrational numbers can be rational.

4) Division of any two integers is an integer.

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