Question

Is √7-2 is a rational or irrational no. By proving it

Answer 1

Step-by-step explanation:

let us assume that √7-2 is rational

hence √7-2=a/b          where a and b are coprime numbers

√7=a/b+2

√7=a/b+2b/b                       since √7 is irrational and a/b+2b/b is rational.

                                                 rational≠irrational

hence our assumption was wrong and hence √7-2 is irrational