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Q: Can 2 irrational add to an irrational number?

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Yes. sqrt(2) + sqrt(2) = 2*sqrt(2), an irrational number.

You can add any irrational number.

An irrational number.

No, but you can add an irrational number and a rational number to give an irrational.For example, 1 + pi is irrational.

Every time. No exceptions.

If an irrational number is added to, (or multiplied by) a rational number, the result will always be an irrational number.

Yes, you can.

Not necessarily. The sum of two irrational numbers can be rational or irrational.

Sometimes. eg the irrational number √2 squared is 2 which is rational (2 = 2/1) eg the irrational number √(√2) squared is √2 which is irrational.

Yes. Consider 4+sqrt(2), and 3-sqrt(2). Both are irrational numbers. Their sum is 7.

The product of two irrational numbers may be rational or irrational. For example, sqrt(2) is irrational, and sqrt(2)*sqrt(2) = 2, a rational number. On the other hand, (2^(1/4)) * (2^(1/4)) = 2^(1/2) = sqrt(2), so here two irrational numbers multiply to give an irrational number.

Find the difference between the two numbers, then add an irrational number between zero and one, divided by this difference, to the lower number. Such an irrational number might be pi/10, (square root of 2) / 2, etc.

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