Question

Sam said the square root of a rational number must be a rational number. Jenna disagreed. She said that it is possible that the square root of a rational number can be irrational. Who is correct and why? Jenna is correct because all square roots are irrational numbers. Sam is correct because all square roots of rational numbers are rational. An example is StartRoot 121 EndRoot = 11. Jenna is correct because not all square roots are rational. An example is StartRoot 2 EndRoot = 1.414213 ellipsis Sam is correct because the properties of square roots state that the square root of a rational number is a rational number.

Answer 1

Answer: Jenna is correct. This is because the square root of 2 is an irrational number. And if the number is a prime number, the answer is less likely to have a rational square root.

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