Answer: A) x=2±V42
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There are 60 marbles in a leather bag. Some of the marbles are blue, some are green, some are clear, some are gold, and some are
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Proof by contradiction.
Let assume that when is an irrational number, then
is a rational number.
If is a rational number, then it can be expressed as a fraction
where
.
Since , the number
is also a rational number. But this contardicts our initial assumption that
is an irrational number. Therefore
must be an irrational number.