Q. 74.4( 5 Votes )

Prove that
Prove that3√3is not a rational number.

Answer :


Let 3√3be a rational number say r.
Then 3√3=r
We know that LHS(√3) is an irrational number therefore RHS should also be an irrational number.

Thus r is an irrational number.

Therefore, our assumption that 3√3 is a rational number is wrong.

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