Sam said the squareroot of a rational number must be a rational number. Jenna di

Question

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

Explanation / Answer

Jenna is correct.

It is not necessary that square root of all the numbers can be expressed as the ratio of integer values.

The example given in the option C is correct. There are multiple such example - square root of 2, 3, 5 etc.

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