Answer:
Suppose, is a
rational number.
Let where a
is rational number, (1)
Therefore,
On squaring both sides, we get
(1)
which is a contradiction as the right hand side is a
rational number whileis
irrational. Hence, is
irrational. (1)
OR
Suppose, is
rational.
Then, there exist cop rime positive integers p and q
such that (1)
(1)
is
irrational while is
rational, but irrational number can never be equal to a rational number. Thus, our
assumption is wrong. Hence, is
irrational. (1)
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