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You can not add Irrational Numbers. You can round off irrational numbers and then add them but in the process of rounding off the numbers, you make them rational. Then the sum becomes rational.

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Q: If three irrational numbers added together is the result irrational number?

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No. You can well multiply two irrational numbers and get a result that is not an irrational number.

If you multiply two irrational numbers, the result can be rational, or irrational.

Yes, but only if the rational number is non-zero.

No. Perfect squares as the squares of the integers, whereas irrational squares as the squares of irrational numbers, but some irrational numbers squared are whole numbers, eg √2 (an irrational number) squared is a whole number.

It the combination is multiplication and the rational number is 0, then the result is rational. Otherwise it is irrational.

The set of irrational numbers is infinitely dense. As a result there are infinitely many irrational numbers between any two numbers. So, if any irrational number, x, laid claim to be the closest irrational number to 3, it is possible to find infinitely many irrational numbers between x and 3. Consequently, the claim cannot be valid.

Same as for other numbers. You sum them together and divide the result by the number of fractions.Same as for other numbers. You sum them together and divide the result by the number of fractions.Same as for other numbers. You sum them together and divide the result by the number of fractions.Same as for other numbers. You sum them together and divide the result by the number of fractions.

No, the result is always an irrational number. In more advanced math it is possible to add an infinite amount of rational numbers by way of Taylor Series and get an irrational number. This is how numbers like "Pi" and "e" are derived.

It is not always irrational.

Multiply it by 0. The result is 0, which is rational.That is the only way that will work with all irrational numbers.

It is irrational - unless the divisor is 0 in which case the division is not defined.

If you multiply a rational and an irrational number, the result will be irrational.

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