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]
