red and white kop!
Junior Member
- Joined
- Jun 15, 2009
- Messages
- 231
show that sqrt(N+1) - sqrt(N) = 1/[sqrt(N+1) + sqrt(N)].
Use this to explain why sqrt(101) is close to, but slightly less than, 10.05.
the first part of this question was kinda tricky for me cos I just didn't see the point of it; i ended up backtracking from the RHS to get the LHS and turned that proof around. maybe this was wrong because it gave me an easy way out but i might have missed the point cos i am totally lost in the second part of the problem. i turned up with something sketchy like sqrt(100 +1) - sqrt(100) = (i don't know what) but this was just in an attempt to match the initial form of the expression.
any help?
Use this to explain why sqrt(101) is close to, but slightly less than, 10.05.
the first part of this question was kinda tricky for me cos I just didn't see the point of it; i ended up backtracking from the RHS to get the LHS and turned that proof around. maybe this was wrong because it gave me an easy way out but i might have missed the point cos i am totally lost in the second part of the problem. i turned up with something sketchy like sqrt(100 +1) - sqrt(100) = (i don't know what) but this was just in an attempt to match the initial form of the expression.
any help?