January 2015, Questions 25
Ms. Fox asked her class “Is the sum of 4.2 and SQRT(2) rational or irrational?” Patrick answered that
the sum would be irrational.
State whether Patrick is correct or incorrect. Justify your reasoning.
The sum of any rational and irrational number is always irrational.
An irrational number has a non-repeating, non-terminating decimal. Adding .2 to the decimal would not make it repeat or terminate.
4.2 + 1.4142135623746.... = 5.6142135623746....
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