To find the geometric mean of two numbers, you use the following formula:
[tex]\[ \text{Geometric Mean} = \sqrt{a \times b} \][/tex]
where [tex]\( a \)[/tex] and [tex]\( b \)[/tex] are the given numbers.
Here, the numbers provided are 6 and 96. Plugging these values into the formula, we get:
[tex]\[ \text{Geometric Mean} = \sqrt{6 \times 96} \][/tex]
First, calculate the product of the two numbers:
[tex]\[ 6 \times 96 = 576 \][/tex]
Next, take the square root of the result:
[tex]\[ \sqrt{576} = 24 \][/tex]
Therefore, the geometric mean of 6 and 96 is 24.
Looking at the provided choices:
A. 24
B. 29
C. 34
D. 44
The best answer is:
A. 24
