What is the set of numbers to which -sqrt22 belong?

1 Answer

The -sqrt22 is equal to -sqrt22=-sqrt(2*11)=-(sqrt2*sqrt11)

Hence sqrt2 , sqrt11 are irrationals , -sqrt22 is irrational.

When a number like sqrta can simplify to the form p/q where p,q where are natural number then it is called rational.

For example -sqrt9=-sqrt(3^2)=-3

Of course irrational numbers belong to the set of real numbers like the rationals , integers and natural numbers.