pi and the square root of 2
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The square root of 2 and the value of pi are two examples of irrational numbers which can't be expressed as fractions
An irrational number is a number that cannot be written as a ratio of two whole numbers. That is, there are no two integers, X and Y (with Y>0) such that the number can be written as X/Y. Sqrt(2), pi, log(3) are examples of irrational numbers.
Not necessarily. The sum of two irrational numbers can be rational or irrational.
If you multiply two irrational numbers, the result can be rational, or irrational.
yes * * * * * No. Rational and irrational numbers are two DISJOINT subsets of the real numbers. That is, no rational number is irrational and no irrational is rational.