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Show that 4√2 is an irrational number. |
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Answer» er:P> Step-by-step explanation: Assume that, 4 2 is a rational number. Then, there exists COPRIME POSITIVE integers p & q such that 4 2 = q p
2 = 4q p (∵ p & q are integers) ⇒ 4q p is rational ⇒ 2 is rational This CONTRADICT the FACT that 2
is irrational. so our assumption is incorrect. Hence 4 2 is irritational. |
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