Final answer:
To determine which of the given options would result in an integer, we need to find the square roots of each option and check if they are whole numbers. The only option that would result in an integer is option a, √25.
Step-by-step explanation:
To determine which of the given options would result in an integer, we need to find the square roots of each option and check if they are whole numbers.
- Option a: √25
The square root of 25 is 5, which is a whole number. Therefore, option a results in an integer. - Option b: √175
The square root of 175 is approximately 13.23, which is not a whole number. Therefore, option b does not result in an integer. - Option c: √68
The square root of 68 is approximately 8.25, which is not a whole number. Therefore, option c does not result in an integer. - Option d: √51
The square root of 51 is approximately 7.14, which is not a whole number. Therefore, option d does not result in an integer.
Based on this analysis, the only option that would result in an integer is option a, √25.