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Find the geometric mean of 2 and 3.

A. [tex]2 \sqrt{3}[/tex]
B. [tex]\sqrt{5}[/tex]
C. [tex]\sqrt{6}[/tex]
D. 6

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 for the geometric mean, which is the square root of the product of the two numbers.

Given the numbers 2 and 3, follow these steps:

1. Multiply the two numbers:
[tex]\[ 2 \times 3 = 6 \][/tex]

2. Take the square root of the product:
[tex]\[ \sqrt{6} \][/tex]

So, the geometric mean of 2 and 3 is \(\sqrt{6}\).

Thus, the best answer from the choices provided is:
C. [tex]\(\sqrt{6}\)[/tex]