Question

Show the conjecture is false by finding a counterexample.
The Square root of a number

Answer 1

A counterexample is an example that shows the statement is false.

• 
  `√(100)=10` is in line with the statement because
  `10 < 100`, so that doesn't work.

• 
  `√(49)=7` again doesn't help, since
  `7 < 49`.
• 
  `√(0)=0` is actually a counter example, since 0 is not less than 0.
• 
  `\sqrt{(9)/(4)}=(3)/(2)` again does not help, since
  `(3)/(2) < (9)/(4)`.

Of these options, 0 is the counter example.