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The sum of two irrational is always irrational?

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Is the sum of two irrational numbers irrational?
not always. nothing can be generalized about the sum of two irrational number. counter example. x=(sqrt(2) + 1), y=(1 - sqrt20) then x + y = 1, rational.
Sum of two irrational number is?
irrational
Two irrational number whose sum is an irrational number?
Sqrt(2) and sqrt(3)
When you divide two irrational numbers is it always irrational?
No. If x is irrational, then x/x = 1 is rational.
Is the product of two irrational numbers always an irrational number?
No. The square root of two is an irrational number. If you multiply the square root of two by the square root of two, you get two which is a rational number.

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