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Squaring both sides, we have

Multiplying both sides by , we have . It follows that is even and is even.

If is even, then it can be expressed as where is an integer. Substituting to the equation above, we have which simplifies to.Dividing both sides by gives . This implies that is even which means that is even.

similarly is irrational.

therefore 6 is totally an irrational number .

The Brainliest Answer!

6 √ 2 = x/y (x,y are integers , y not equal to zero)

√ 2 = x/6y

LHS^ RHS^

LHS = √ 2 = irrational no.

RHS = x/6y = rational no.

but this is a contradiction.....any irrational no. cannot be equal to rational no.

therefore, 6 √ 2 is an irrational no.