Question

prove that 3root3 is not a rational number?

Answer 1

let 3√3=a/b
√3=a/3b
therefore ,rhs is rational
so, rhs = lhs
but √3is irrational
therefore, lhsis not equal to rhs
this proves that 3√3 is irrational


hope this helps

Answer 2

heya !!


here is your answer⤵️⤵️

root 3 is rational number.

root 3 can be written as a/b.

a, b are co primes.

root3 = a/b.

root3/b = a.
squaring on both sides

(root3)^2 = a^2