Answer:
The geometric mean between 8 and 12 is a) 9.8.
Explanation:
The geometric mean is the nth root of the product of "n" numbers. For two numbers "a" and "b", the geometric mean is:
√(a*b)
So, to find the geometric mean between 8 and 12, we need to compute:
√(8*12) = √96
We can simplify the square root of 96 as follows:
√96 = √(16*6) = 4√6
Therefore, the geometric mean between 8 and 12 is 4√6 or approximately 9.8. Option a is the correct answer.