Find the geometric mean of 14 and 20.

• A. $\sqrt{280}$
• B. $\frac{14+20}{14\times 20}$
• C. $\frac{14+20}{2}$
• D. $\sqrt{34}$

Answer: (A)

Verified step by step guidance

1. Identify the numbers for which you need to find the geometric mean. In this case, the numbers are 14 and 20.
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 values into the formula: \[\sqrt{14 \times 20}\]
4. Multiply the two numbers inside the square root: \[\sqrt{280}\]
5. The expression \(\sqrt{280}\) represents the geometric mean of 14 and 20. You can leave the answer in this form or simplify the square root if needed.