Question

prove that 3 divide by under root 2 is irrational​

Answer 1

Answer:

Hey Mate ,

Here is the answer ,

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Let   3   be a rational number.

     √2

Multiply it with  1 .

                        3

3   ₓ   1    =    1  

√2      3         √2

1   is a rational number as product of two rational numbers is also rational.

√2

This contradicts the fact that √2 is irrational. Hence, our assumption is wrong and  3   is irrational .

      √2

                                                                                     Hence, proved.

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