Question

Is the square root of eight a rational or irrational number

Answer 1

`\bf √(8)\implies √(2\cdot 2\cdot 2)\implies √(2^2\cdot 2)\implies 2√(2)`

it just so happen that √2 is an irrational number, so any product with it as a factor, will yield an irrational number as well.



factoid: Ancient Greeks were scared of irrational numbers, and they steered clear from √2.