Question

Prove that 5-2√3 is rational number

Answer 1

Answer:

Step-by-step explanation:

let 5-2√3 = a/b    (where a and b are co-prime integers and b is not equal to 0)

Now,

             5-2√3   =   a/b

             2√3      =    5 - a/b

              2√3      =     (5b - a)/b

since, 2√3 is irrational no. and (5b - a)/b is rational no.

therefore ,  rational can not equal to irrational

therefore ,, it contadicts

so , 5-2√3 is irrational no.