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An irrational number is a real number that cannot be expressed as a ratio of two integers, pq/ where q > 0.

sqrt(2) and pi are examples.

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Can you add an irrational number and a rational number to give an irrational?

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An Irrational Number is a Number that cannot be converted to a Fraction and has an unstoppable amount of numbers after the decimal point. For Example, Pi is the most famous irrational number. If I didn't answer your question, search up Irrational Numbers.