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------------------------------------------------ Which of the following are square roots of the number below? Check all that apply.

121

A. 66
B. [tex]$-121^{1/2}$[/tex]
C. 48
D. 11
E. -11
F. [tex]$121^{1/2}$[/tex]

To determine which of the options are square roots of 121, let's first recall what a square root is. The square roots of a number are the values that, when multiplied by themselves, give the original number.

For the number 121, there are two primary square roots:

1. A positive square root: 11
2. A negative square root: -11

Now, let's evaluate each option to see if it matches one of these square roots:

- Option A: 66
66 is not a square root of 121 because 66 × 66 equals 4356, which is much larger than 121.

- Option B: [tex]$-121^{1/2}$[/tex]
This represents the negative square root of 121, which is indeed -11. Therefore, Option B is a square root.

- Option C: 48
48 is not a square root of 121 because 48 × 48 equals 2304, which is greater than 121.

- Option D: 11
11 is the positive square root of 121. Thus, Option D is a correct choice.

- Option E: -11
As mentioned earlier, -11 is the negative square root of 121, so this option is correct.

- Option F: [tex]$121^{1/2}$[/tex]
This represents the positive square root, which is 11. Therefore, Option F is correct as well.

In summary, the correct options that are square roots of 121 are B, D, E, and F.