# Thread: Patterns And Inductive Reasoning

1. ## Patterns And Inductive Reasoning

Here is the problem:

Show the conjecture is false by finding a counterexample.
The square root of a number x is always less than x

Thank You!!

I am Desperate!!

2. Originally Posted by purple3000
Here is the problem:

Show the conjecture is false by finding a counterexample.
The square root of a number x is always less than x

Thank You!!

how did i come up with that? i knew that 0 < x < 1 works, but if you didn't, just solve for it. you wanted $\displaystyle \sqrt x > x$