SOLUTION: 47. Classify each of the following as a rational or irrational number. 7/22 3.14114111411114. . ___________ ___ square root of 2 + 8

Algebra ->  Conversion and Units of Measurement -> SOLUTION: 47. Classify each of the following as a rational or irrational number. 7/22 3.14114111411114. . ___________ ___ square root of 2 + 8      Log On


   



Question 250905: 47. Classify each of the following as a rational or irrational number. 7/22
3.14114111411114. . _______________ square root of 2 + 8

Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
First a definition: A rational number is any number that can be expressed as a fraction in some way. Books often say a/b, where b cannot = 0.
we have 7/22 - since this is a fraction it is "rational"
3.14114111411114 . . . - here there is a pattern to the numbers, but it is not repeating the same pattern. This is "irrational".
sqrt%282%29+%2B+8 - any time you have the square root of a prime number, it will never be rational. It is "irrational."