Question

prove that 5√6 is irrational​

Answer 1

let 5 root 6 be rational

=5 root 6 =a/b ( a,b are coprimes)

squaring on both sides

(5root6)2 =(a/b)2

=25×6=(a/b)2

150/(b) 2=(a)2

i e a divides 150

there for a=c 150/b2= 150c2

our assumption is wrong therefore 5 root 6 is irrational

therefore