Question

prove that 3√2 ia irrational​

Answer 1

Answer:

Step-by-step explanation:

Let us assume 3√2 is rational.

So, 3√2 = a/b

      √2 = 1/3(a/b)

     a and b are integers, a/b is rational, 1/3(a/b) is rational.

     Therefore, √2 is rational.

      But, we know that √2 is irrational.

       This contradicts our assumption that 3√2 is rational.

                              Therefore, 3√2 is irrational.

                                      Hence, proved

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