Question

prove that 3root3 is not a rational number

Answer 1

Let 3√3 be a rational number.

A rational number can be written in the form of p/q.

3√3 = p/q

√3 = p/3q

p,q are integers then p/3q is a rational number.

Then √3 is also a rational number.

But this contradicts the fact that √3 is an irrational number.

So our supposition is false.

Therefore,3√3 is an irrational number.

Hence proved

Answer 2

Answer:

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