It is not possible to prove something that is not true. The square of 2 is rational, not irrational.
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The square root of 2 is 1.141..... is an irrational number
Because 3 is a prime number and as such its square root is irrational
Yes, the square root of 2 is an irrational number.
The same reasoning you may have seen in high school to prove that the square root of 2 is not rational can be applied to the square root of any natural number that is not a perfect square.
Yes, they are irrational.