Question

prove that root2 is an irrational number Hence prove that 2_5root2 is irrational

Answer 1

Heya,

Thanks for asking your question.

Here is the required answer : -
√2 = 1.4142135.... which is a non-recurring representation. [The calculation is done in the picture]

As a irrational number is a number whose representation is not possible and √2 don't have a representation, it is a irrational number. The calculation proves that it can't be represented in the form p/q where q ≠ 0.

HOPE IT HELPED.