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Show that √(5) is irrational​
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17 votes
Show
that

√(5)
is irrational​

User Djordje Nedovic
by
6.2k points

1 Answer

5 votes
Suppose that √5 = ab where ab is in reduced form. Thus 5 = a2b2 and 5b2 = a2. ... Since there is no integer that is both even and odd, we have reached a contradiction and √5 is irrational.
User Kym
by
6.6k points
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