Question

Which of the following would result in an integer?
A. √32
B. √18
C. √65
D. √121

Answer 1

The square root of a number results in an integer if the number is a perfect square.

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 product of an integer multiplied by itself. Let's evaluate each option:

1. A. √32: 32 is not a perfect square, so the square root of 32 is not an integer.
2. B. √18: 18 is not a perfect square, so the square root of 18 is not an integer.
3. C. √65: 65 is not a perfect square, so the square root of 65 is not an integer.
4. D. √121: 121 is a perfect square, because it is equal to 11 multiplied by 11, so the square root of 121 is an integer. Therefore, option D would result in an integer.