Let n be a natural number. Show that if n is a perfect square, then 2n is not a perfect square. (Reminder: a natural number a is a perfect square if there exists a natural number k such that n = k^2.)
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To do this, we need to find a natural number k such that 2n =k2. Since n is a natural number, there must be a natural number k such that n =k2. Show more…
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