prove that 6 root 3 is an irrational number
let us assume to the contrary that 6 root 3 is rational. then 6 root 3=a/b, where a and b are co-primes.
6 root3=a/b
root 3 = a/6b
since a, b and 6 are positive integers,
therefore root 3 is rational. but this contradicts the fact that root 3 is irrational. therefore our assumption is wrong. hence 6 root 3 is irrational.
6 root3=a/b
root 3 = a/6b
since a, b and 6 are positive integers,
therefore root 3 is rational. but this contradicts the fact that root 3 is irrational. therefore our assumption is wrong. hence 6 root 3 is irrational.
