MA 30100 Study Guide - Comprehensive Final Exam Guide - Ec (Programming Language), Warner Music Group, Terma (Religion)
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2 is irrational a b where a . 2 is not zero, and a and b are both not even . (proof by contradiction) We additionally assume that this obviously be done with any fraction. Notice that in order for terms, both of could simplify. From the equality is an even number since it is 2 times a number. , we can write 2 = a and further. a/b . 2 a b a b a b is simplified to lowest terms, since that can to be in simplest cannot be even. So the square of a itself is also an even number, because it can"t be odd; if would be odd too. From this we know that a itself was odd, then a a odd. If where k is this other number. = 2k into the original equation 2 = itself is an even number, then is 2 times another whole number. This means that b contradicting the premise.