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we define a rational number as any number that can be expressed as a fraction each value a and B must be an integer and B the denominator cannot be equal to zero simply put a rational number can be thought of as a ratio of two integers consider the example two over five this is a rational number because the first integer a is 2 and the second integer B is 5 what about a whole number like eight we know that we can rewrite eight as eight over one so eight is again a rational number where a is equal to 8 and B is equal to 1 a ratio of two integers and now we'll take a look at the square root of 16 we know that 16 is a perfect square and that the square root of 16 is equivalent to 4 which can be written as 4 over 1 so again it can be expressed as a ratio where a is 4 and B is 1 so the word ratio should tip us off to rational a number that can be expressed as a fraction of two integers next we can define an irrational number a real number X that cannot be expressed as a ratio of two

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