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4. Find the geometric mean of 3 and 48.

A. 72
B. 12
C. 25.5
D. [tex]\sqrt{51}[/tex]


Sagot :

To find the geometric mean of two numbers, you use the following formula:

[tex]\[ \text{Geometric mean} = \sqrt{a \times b} \][/tex]

Given the numbers [tex]\( a = 3 \)[/tex] and [tex]\( b = 48 \)[/tex], let's follow each step to find the geometric mean:

1. Calculate the product of the two numbers:

[tex]\[ a \times b = 3 \times 48 = 144 \][/tex]

2. Find the square root of the product:

[tex]\[ \sqrt{144} = 12 \][/tex]

Therefore, the geometric mean of 3 and 48 is [tex]\( 12 \)[/tex].

The correct answer is [tex]\( 12 \)[/tex].