Question

prove that 2 root 2 is irrtional

Answer 1

Problem is that irrational numbers are NOT closed under addition. Therefore it is possible to add two irrational numbers, and end up with a rational number. (2 + √3) and (2 - √3) are two irrational numbers But their sum is not irrational: (2 + √3) + (2 - √3) = 4 So you cannot prove that irrational numbers added together equal an irrational number.

Answer 2

u know that √2 is a decimal value so its irrational