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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.

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.

It is not always irrational.

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

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

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

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.

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.

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

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.

It is not always irrational.

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

Irrational numbers are used in some scientific jobs. Commonly used irrational numbers are pi, e, and square roots of different numbers. Of course, if an actual numerical result has to be calculated, the irrational number is rounded to some rational (usually decimal) approximation.