Prove the following statement using a proof by contraposition. Yr EQ,s ER, if s is irrational, then r + 1 is irrational.
1 answer:
Answer:
I think that what you are trying to show is: If
is irrational and
is rational, then
is rational. If so, a proof can be as follows:
Step-by-step explanation:
Suppose that
is a rational number. Then
and
can be written as follows


Hence we have that

Then

This is a contradiction because we assumed that
is an irrational number.
Then
must be an irrational number.
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