Question

if a is a positive rational numbers and n is a positive integer greater than 1 prove that a is a rational numbers

Answer 1

Answer:

here you go

Step-by-step explanation:

Given : a is positive rational number and n is a positive integer greater than 1

To prove :a^na

n

is a rational number

Explanation:

we know that the product of the two rational numbers is always a reational number

therefore

if a is the rational number

then

a² = a×a is a rational number

a³ = a²×a is a rational number

.

.

.

$$a^n = a^n^-^1 \times a$$ is a rational number