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Find the geometric mean of 6 and 96.

A. 24
B. 29
C. 34
D. 44

Please select the best answer from the choices provided:
A
B
C
D

Sagot :

GinnyAnswer
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
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