What is the geometric mean of 25 and 35?

• A. $25+35$ (equals $60$)
• B. $\sqrt{875}$ (approximately $29.58$)
• C. $\frac{25+35}{2}$ (equals $30$)
• D. $35-25$ (equals $10$)

Answer: (B)

Verified step by step guidance

1. Understand that the geometric mean of two numbers is the square root of their product. It is a measure that indicates the central tendency by using the product of the values rather than their sum.
2. Identify the two numbers given: 25 and 35.
3. Calculate the product of the two numbers: multiply 25 by 35, which can be written as \$25 \times 35$.
4. Take the square root of the product obtained in the previous step. This can be expressed as \(\sqrt{25 \times 35}\).
5. Simplify the square root expression if possible, or leave it in the square root form to represent the exact geometric mean.