The gave statement by the student that "the sum of two real numbers is always a rational number" is incorrect.
What is a rational number?
Rational numbers are numbers which can be written in the form of a/b where a and b are integers.
Example: 1/2, 3.5 (which is writable as 7/5), 2(which is writable as 4/2), etc.
What is an irrational number?
Irrational numbers are those real numbers which are not rational numbers.
For example √2, π, √13, etc.
It is important thing to know that all natural numbers are integers, and all integers are rational numbers. That means natural numbers are not irrational.
Since real number contains both rational and irrational number, therefore, it is not always possible that the sum of two real number is always rational. For example, the sum of √2 and √3 is an irrational number.
Hence, the given statement by the student that "the sum of two real numbers is always a rational number" is incorrect.
Learn more about Rational and Irrational Numbers here:
https://brainly.com/question/17450097
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