Question

Give a counterexample for the statement all square roots are irrational numbers explain your reasoning

Answer 1

Not all square roots are irrational. This can be proven by finding the perfect square roots. The sqrt. of 16, 25, and 26, for example, the answers are all rational numbers. 


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Answer 2

An irrational number is a number that has an everlasting decimal (9.34560292348857485...). (If the decimal repeats, it is not irrational. 9.476666666...)
This is false because the square root of an even number are not irrational.
The square root of 16 is 4. The square root of 144 is 12.