Asking this again because the person who answered the last one gave the incorrect answer. If 7 iced cupcakes cost $21, then how
1 answer:
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Let assume that is a rational number. Therefore it can be expressed as a fraction
where
and
.
This means that is divisible by 7, and therefore also
is divisible by 7.
So, where
Analogically to -------
is divisible by 7 and therefore so is
.
But if both numbers and
are divisible by 7, then
which contradicts our earlier assumption that
.
Therefore is an irrational number.