State true or false: Sum of two rational numbers is always rational.

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True

False

answer is A.

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Detailed Solution

Given is the statement that the sum of two rational numbers is always rational.
We have to decide if the given statement is true or not.
Now, we know that real numbers are always closed under addition.
This means that if we add two real numbers, their sum will always be a real number.
This same logic applies to rational numbers as well, because they are the sub category of real numbers.
So, if we add two rational numbers, then the sum will always be rational.
Hence, the statement is true.
So, the correct option is 1.

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