Question

Which of the following would result in an integer?
a) √121
b) √65
c) √32
d) √18

Answer 1

The correct answer is option a. The expression √121 would result in an integer because 121 is a perfect square whose square root is 11, which is an integer. The other options do not yield integers because they are not perfect squares.

Step-by-step explanation:

The question is asking which of the following expressions would result in an integer: a) √121, b) √65, c) √32, d) √18. In mathematics, an integer is a whole number that can be positive, negative, or zero, but does not have any fractional or decimal part. To find out which of the given options result in an integer, we can evaluate each of the square roots:

• √121 = 11 (121 is the square of 11, so taking the square root of 121 returns the integer 11)
• √65 is not an integer because 65 is not a perfect square.
• √32 is not an integer because 32 is not a perfect square.
• √18 is not an integer because 18 is not a perfect square.

Therefore, the correct answer is a) √121, as it is the only option that results in an integer.