What is the geometric mean of 3 and 15?

• A. $9$
• B. $\frac{3+15}{2}$
• C. $\sqrt{45}$
• D. $45$

Answer: (C)

Verified step by step guidance

1. Identify the numbers for which you want to find the geometric mean. In this case, the numbers are 3 and 15.
2. Recall the formula for the geometric mean of two numbers \(a\) and \(b\): \(\text{Geometric Mean} = \sqrt{a \times b}\).
3. Substitute the given numbers into the formula: \(\sqrt{3 \times 15}\).
4. Multiply the numbers inside the square root: \$3 \times 15 = 45$.
5. Express the geometric mean as \(\sqrt{45}\), which is the square root of the product of the two numbers.