Question

prove that 5 minus 2 root 3 is an irrational number

Answer 1

let us assume contrary tha 5-2root3 is rational

so,,,.

 5-2root 3=p/q

root3=p/q upon 5-2

since p/q is rational and root 3 is also rational 

this contraadiction has arisen due to our wrong ssumption that 5-2root3 is rational

so,,,,.

5-2root3 is irrational..