Question

Prove 3 - 5areirrational.

Answer 1

Step-by-step explanation:

let on contrary that 3-root 5 are rational so it is in form of a and b having no common factor other than 1

3-root5=a/b

root 5 = a/b-3

=) root5 = a-3b/b( we know that a and b are integer HENCE a-3b/b is rational number)

=we know that rational does not equal to irrational

hence 3 -root5 is irrational