Question

prove 5/2 root 3 is a irrational number​

Answer 1

Step-by-step explanation:

5/2√3

=5/2√3*√3/√3

=5√3/6

let,

5√3/6 is a rational number

5√3/6=p/q

since p/q is a rational number

so 5√3/6 is also a rational number

but we know that √3 is a irrational number

this contradiction our assumption

therefore,5√3/6 is a irrational number

since 5/2√3 is also a irrational number

hope this helps you