Suppose that is rational.
Then x is rational, contradiction
Suppose , contradiction.
suppose x is an irrational number
-show that 1/x is irrational
-are there any integers p/q both greater than 0 such that (p/q)x is rational?
suppose x is an irrational number and y is any real number bigger than zero. show that at least one of x-y and x+y is an irrational number. .
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