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# How can you prove that the square root of two is transcendental?

Wiki User

2015-07-12 19:22:01

You can't, because it isn't. The square root of 2 is irrational, but that doesn't make it transcendental. The square root of any positive integer is ALGEBRAIC - and transcendental means "not algebraic".In this case, the square root of 2 is a root of the polynomial equation x squared - 2 = 0; therefore it is algebraic.

Wiki User

2015-07-12 21:14:51
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## A number a power of a variable or a product of the two is a monomial while a polynomial is the of monomials

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Wiki User

2016-03-15 14:28:57

You cannot because it is not. The square root of 2 is the solution to the polynomial equation x^2 - 2 = 0 and so it is a plain irrational number, not a transcendental.

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