Question

Assignm 1. Ifa is a positive rational number and n is a positive integer greater than 1, prove that n’ is a rational number.​

Answer 1

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 = a2 x a is a rational number,

a4 = a3x a is a rational number,

∴ an = an-1 x a is a rational number.