What is the geometric mean of 4 and 25?

• A. $29$
• B. $10$
• C. $9$
• D. $14.5$

Answer: (B)

Verified step by step guidance

1. Identify the numbers for which you want to find the geometric mean. In this case, the numbers are 4 and 25.
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: \[ \sqrt{4 \times 25} \]
4. Multiply the numbers inside the square root: \[ \sqrt{100} \]
5. Take the square root of the product to find the geometric mean.