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?

Answer 1

C is correct

Explanation:

Jenna is correct because not all square roots are rational. An example is StartRoot 2 EndRoot = 1.414213 ellipsis

Answer 2

Answer: Jenna is correct.

Explanation:

We can prove this statement with help of two examples.

Since we know that 64 is the rational number.

And, the square root of 64 is
`√(64)`.

Which is equal to 8 or -8.

And, they are integers, and we know that the integer are always a rational number.

Therefore
`√(64)` is a rational number.

And, If we take a number 2 which is a rational number.

Since, when we do square root of 2, we get √2.

And, √2 is a irrational number.

Thus, we can say that we can obtain a rational or irrational number after doing the square root of rational number.

Therefore, Jenna is correct.