Question

prove that 3√2 is irrational

Answer 1

hope this might help u

Answer 2

If possible let 3 root under 2 is rational.

Then there exists co primes a and b (b not equal to 0)

such that

3 root under 2 = a/b

= root under 2 = a/3b

since a and b are integers so a/3b is rational.

thus, root under 2 is also rational.

But , this contradicts the fact that root under 2 is irrational . so our assumption is incorrect.

Hence 3 root under 2 is irrational.

HOPE U UNDERSTAND NOW!!!!