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Find the geometric mean of 5 and 320.

A. 35
B. 40
C. 45
D. 50

Please select the best answer from the choices provided.

A.
B.
C.
D.

Sagot :

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