Final answer:
None of the options provided (-17.6, 17/2, -√-121, √-136) are both an integer and a rational number. However, if there is a typo and option c should be the negative square root of 121, then the answer would be -11, which satisfies both conditions.
Step-by-step explanation:
The student's question is asking which of the following numbers is both an integer and a rational number: a. -17.6, b. 17/2, c. - square root of -121, d. square root of -136. An integer is a number with no fractional part, and a rational number is a number that can be expressed as a fraction with integer numerator and a non-zero integer denominator. Among the options provided:
- Option a, -17.6, is not an integer as it has a decimal.
- Option b, 17/2, is not an integer as it represents a fraction that is not a whole number.
- Option c, the negative square root of -121, is an imaginary number, not an integer.
- Option d, square root of -136, is also an imaginary number, not an integer.
Upon examining the options provided, we see that none of the numbers is both an integer and a rational number. However, if there is a typo, and option c is meant to be the negative square root of 121, then it would be -11 which is both an integer and a rational number.