Question

prove that 3√3 is irrational

Answer 1

Let 3√3 be rational
so it can be written in p/q form.
3√3 = p/q
√3 = p/3q
p/3q is rational and p and q are integers .

But this contradict the fact that √3 is irrational . so our assumption is wrong . As a result 3√3 is irrational.

Answer 2

Hey !!

Let that the 3√3 is rational no.

Now , That we can find coprime a and b b is not equal to 0

Such that 3√3 = a/b

Rearranging , we get √3=a/3b is rational no.

But this contradicts the fact √3 is rational .

So, we conclude that 3√3 is rational .

Hope it helps !!

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