To find the geometric mean of two numbers, you use the formula:
[tex]\[ \text{Geometric Mean} = \sqrt{a \times b} \][/tex]
where [tex]\( a \)[/tex] and [tex]\( b \)[/tex] are the two numbers you are considering. In this case, the numbers are 5 and 320.
Plugging in the values, we have:
[tex]\[ \text{Geometric Mean} = \sqrt{5 \times 320} \][/tex]
[tex]\[ \text{Geometric Mean} = \sqrt{1600} \][/tex]
[tex]\[ \text{Geometric Mean} = 40.0 \][/tex]
Now, looking at the choices given:
A. 35
B. 40
C. 45
D. 50
The correct answer is:
B. 40
