Question

If a is a positive rational number and n is a positive integer greater than 1.
prove that a" is a rational number​

Answer 1

Step-by-step explanation:

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