If a is a positive rational number and n is a positive integer greater than 1, prove that an is a rational number.
We know that product of two rational number is always a rational number. Hence if a is a rational number then
a2 = a x a is a rational number,
a3 = a2 x a is a rational number.
... an = an-1 x a is a rational number.
a2 = a x a is a rational number,
a3 = a2 x a is a rational number.
... an = an-1 x a is a rational number.
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