Mathematics
Prove that the reciprocal of an irrational number is irrational.
Rational Irrational Nos
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Answer
Let us consider, x as an irrational number.
Reciprocal of x is .
Let us consider to be a non-zero rational number.
Then, will also be an irrational number as product of non-zero rational number and an irrational number is also an irrational number.
But = 1 is a rational number.
Hence, our supposition is wrong. So, is an irrational number.
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