Question

Prove that n^1/2 is not a rational number,if n is not a perfect square..

Answer 1

hey friend,here's your answer:

if it is to the power of 1/2 then it is the same as square root of that number.

so n to the power of 1/2 then it is same as square root of n.

so unless n is a perfect square n to the power of 1/2 will be irrational.

hope it helps u
#aditya

Answer 2

n^1/2

If n was a perfect square of lets say q then we could right n= q^2

And then the result would be q a rational number

But since it is not a perfect square

Result will be under root n that is an irrational number...

Thank u★★★
#ckc