Question

prove 2root3/5 as irraational

Answer 1

let 2√3/5 be a rational number in the form of p/q.
2√3/5=p/q
2√3=p/q×5
2√3=5p/q
therefore,
√3=5p/3q
here,
5p/3q is rational. but √3 is irrational.
this gives us a contradiction that our assumption that 2√3/5 is rational number is wrong.
therefore, 2√3/5 is rational number.