Final answer:
The geometric mean of 4 and 36 is calculated by multiplying them to get 144 and then taking the square root of 144, which is 12.
Step-by-step explanation:
The question asks us to identify the geometric mean of the numbers 4 and 36. The geometric mean of two numbers is the square root of the product of those numbers. So, for 4 and 36, we multiply them together to get 144 and then take the square root of 144, which is 12. Therefore, the geometric mean of 4 and 36 is 12, which corresponds to option B.When we add 2 to an odd integer, we get the next larger odd integer. For example, if n = 3, then n + 2 = 3 + 2 = 5, which is the next larger odd integer after 3.
Similarly, if n = 11, then n + 2 = 11 + 2 = 13, which is the next larger odd integer after 11.