Question

Give a counterexample for the statement: 'All square roots are irrational numbers'. Explain your reasoning.

Answer 1

A counterexample for the statement 'All square roots are irrational numbers.' is the square root of 9.  This is because when simplified, the answer is 3.  

For a number to be irrational, it can't be expressed in fractional form.  However, 3 can be expressed in fractional form as 3/1.