Question

show that 3√6 is not rational number

Answer 1

Let 3√6 be rational number.
So,
3√6 = p/q { Integer/Integer}

√6 = p/3q

Now, LHS is an irrational number but RHS is rational number, which is not possible.

Therefore our supposition is wrong & 3√6 is not rational (irrational) number.

Hope it helps.

Answer 2

Thank you for your question