Q: Can you add irrational number and a rational to get a rational number?

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Let R1 = rational number Let X = irrational number Assume R1 + X = (some rational number) We add -R1 to both sides, and we get: -R1 + x = (some irrational number) + (-R1), thus X = (SIR) + (-R1), which implies that X, an irrational number, is the sum of two rational numbers, which is a contradiction. Thus, the sum of a rational number and an irrational number is always irrational. (Proof by contradiction)

It is a rational number.

When a rational numbers is divided by an irrational number, the answer is irrational for every non-zero rational number.

Can be irrational or rational.1 [rational] * sqrt(2) [irrational] = sqrt(2) [irrational]0 [rational] * sqrt(2) [irrational] = 0 [rational]

Is 12.05 a rational number or 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.

An irrational number.

You can add any irrational number.

Every time. No exceptions.

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.

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

no

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.

10.01 is a rational number

They add up to 17.02 which is rational number

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

no