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Q: What number can you add to any rational number to obtain an irrational number?

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

They add up to 17.02 which is rational number

Yes - if I had an irrational number x, and I added that to the number (7-x), I would end up with 7.If the number is irrational, it can be subtracted from a rational/integer to make another irrational.

yes

No. The set of rational numbers is closed under addition (and multiplication).

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

An irrational number.

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

Every time. No exceptions.

no

no

Yes. The sum of two irrational numbers can be rational, or irrational.

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.

They add up to 17.02 which is rational number

Let `a` be a rational number and `b` be an irrational number,assume that the sum is rational. 1.a +b =c Where a and c are rational and b is irrational. 2.b=c-a Subtracting the same number a from each side. 3.b is irrational c-a is a rational number we arrived at a contradiction. So the sum is an irrational number.

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

no

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