Question

find the geometric mean of 2 and 3. a. $2sqrt{3}$ b. $sqrt{5}$ c. $sqrt{6}$ d. 6 please select the best answer from the choices provided a b c d

Explanation:

Step1: Recall geometric mean formula

The geometric mean of two numbers \(a\) and \(b\) is given by \(\sqrt{ab}\).

Step2: Substitute \(a = 2\) and \(b = 3\)

Substitute the values into the formula: \(\sqrt{2\times3}\).

Step3: Simplify the expression

Simplify \(2\times3 = 6\), so the geometric mean is \(\sqrt{6}\).

Answer:

C. \(\sqrt{6}\)