If a is a positive rational number and n is a positive integer greater than 1, prove that an is a rational number . -Maths 9th

If a is a positive rational number and n is a positive integer greater than 1, prove that an is a rational number . -Maths 9th
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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 = 4:2 x a is a rational number. ∴ an =  an-1 x a is a rational number.
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Last Answer : 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 = 4:2 x a is a rational number. ∴ an = an-1 x a is a rational number.

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