Best Answer

It will be irrational. Rational numbers are numbers that can be written as a fraction. Irrational Numbers cannot be expressed as a fraction.

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Q: What will be the sum of a rational number and an irrational number?

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Related questions

The sum of the three can be rational or irrational.

No. In fact the sum of a rational and an irrational MUST be irrational.

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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)

Yes, always.

It is true.

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Yes, that is so.