Question

prove that 5-2root3 is irrational number

Answer 1

root 3. yes it is irrational

number

Answer 2

let us assume to the contrary that 5-2root3 is rational

5-2root3= a/b where a and b are coprimes

-2root3= a-5/b

root3= a-5/2b

now, since root3 is irrational, our assumption is wrong.

=> 5-2root3 is irrational