Which of the following are square roots of the number below? Check all that apply.
25
A. -(25)^1/2
B. -5
C. 13
D. 25^1/2
√25 = 25^(1/2) = 5
To find the square roots of a number, you need to determine the number or numbers that, when squared, result in the given number. In this case, we are looking for the square roots of 25. Let's evaluate each option to see if it is a square root of 25:
A. -(25)^(1/2): First, we calculate the square root of 25: √25 = 5. However, this option is negative, so it does not match the square root of 25. Therefore, option A is not a square root of 25.
B. -5: We evaluate -5 squared: (-5)^2 = 25. Since (-5)^2 equals 25, option B is indeed a square root of 25.
C. 13: We evaluate 13 squared: 13^2 = 169. As 169 is not equal to 25, option C is not a square root of 25.
D. 25^(1/2): This option represents the principal square root of 25. We calculate 25^(1/2): √25 = 5. Since 5 is a square root of 25, option D is also a square root of 25.
After evaluating each option, we can conclude that options B and D, -5 and 25^(1/2), respectively, are the square roots of 25.
To find the square roots of the number 25, we need to check which options are correct.
The square root of 25 is a number that, when multiplied by itself, equals 25.
Let's review each option:
A. -(25)^1/2: This is the negative square root of 25. It is -5. Since -5 multiplied by -5 equals 25, option A is correct.
B. -5: This is not a square root of 25. -5 multiplied by -5 equals 25, which means it is the negative of the square root. Therefore, option B is not correct.
C. 13: This is not a square root of 25. 13 multiplied by 13 does not equal 25, so option C is not correct.
D. 25^1/2: This is the positive square root of 25. It is 5. Since 5 multiplied by 5 equals 25, option D is correct.
In summary, the square roots of 25 are -5 (option A) and 5 (option D). Therefore, the correct options are A and D.