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

Question

Rodriguez

Mathematics

2 November, 08:22

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

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Karlie Moran · 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.