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Why Is √ 2 An Irrational Number? [Solved]

The actual value of √2 is undetermined. The decimal expansion of √2 is infinite because it is non-terminating and non-repeating. Any number that has a non-terminating and non-repeating decimal expansion is always an irrational number. So, √2 is an irrational number.

Proof that square root of 2 is irrational | Algebra I | Khan Academy

Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts.

A Proof That The Square Root of Two Is Irrational

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Proof: Square Root of 2 is Irrational

In this math lesson we go over a nice and easy proof that the square root of