Proof by Induction--Sqrt(n) 1. The problem statement, all variables and given/known data Prove that if a line of unit length is given, then a line of length sqrt(n) can be constructed for each n. 2. Relevant equations N/A 3. The attempt at a solution So I'm not really sure where to begin...I assumed that a unit length is the representation of the natural numbers (1, 2, 3...n). And then I drew a triangle with unit length 1 on the legs and then constructed the hypotenuse to be sqrt(2). And then I drew a triangle with unit length 1 on a leg and unit length 2 on a leg and then I constructed the hypotenuse to be sqrt(5). But I don't know how to: i) Write this as a formal proof by induction, or ii) How to find some sqrt(n) with unit lengths, like sqrt(3) or sqrt(4).