Question

prove √3 is an irrational number. Hence show that 7+2√3is also an irrational number.​

Answer 1

That is 3 is a common factor of a and b contradicting the fact that a and b are co-primes . This contradiction arises due to the wrong assumption that √3 is rational. Hence √3 is irrational. ... Hence it is proved that 7 + 2√3 is irrational.