Answer:
Let us suppose that be
rational.
Letwhere r
is rational. Therefore,
Squaring both sides, we get
Therefore
Now R.H.S. is a rational number, since r is rational, q, p
are both rationals [Since p, q are primes]
But is
irrational, since q is prime, we
arrive at a contradiction.
our
supposition is wrong. Hence is
irrational.
OR
Since is a
terminating decimal number
denominator
must be of the form where
m, n are natural numbers.
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