Question

prove that√5,√7 and irrational with in process​

Answer 1

Let us assume to the contrary that 5+√7 is rationalSo,it can be written in the form a/b where a and b are co-primes,and b not equal to zero.5+√7=a/b√7=a-5b/bSince a,b and 5 are integers, therefore the are rationalBut this contradicts the fact that√7 is irrationalHence our assumption is incorrectTherefore 5+√7 is irrational... i hope u will like my answer