Question

Which of the following would result in an integer?

A. √175
B. √25
C. √ 68
D. √51

Answer 1

The correct answer for the given option is option B. The square root of a perfect square will result in an integer.

Step-by-step explanation:

The square root of a number results in an integer if the number is a perfect square. A perfect square is a number that can be expressed as the square of an integer. Using this information, we can determine which of the given options would result in an integer.

1. A. √175: This is not a perfect square, so the square root of 175 will not be an integer.
2. B. √25: 25 is a perfect square, and its square root is 5, which is an integer. So, option B results in an integer.
3. C. √68: 68 is not a perfect square, so the square root of 68 will not be an integer.
4. D. √51: 51 is not a perfect square, so the square root of 51 will not be an integer.

Therefore, the only option that would result in an integer is B, √25.