No, you can't.
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Not necessarily. The sum of two irrational numbers can be rational or irrational.
Two is an integer. All integers are rational numbers.
Yes, you can.
Yes. The sum of two irrational numbers can be rational, or irrational.
No, -5 is not an irrational number. Irrational numbers are numbers that cannot be represented as the quotient of two integers. Since -5 is already an integer, it is rational.