Question

prove that the following are irrational numbers 4-5√3​

Answer 1

let 4-5√3 be a rational number.

4-5√3= a/b where a and b are co primes

-5√3=a/b-4

-5√3=a-4b/b

a-4b/b+5=√3

But this contradiction is wrong therefore 4-5√3 is a irrational number.

Hope this will help you.