What is the geometric mean of 7 and 56?

• A. $31.5$
• B. $19.8$
• C. $14$
• D. $21$

Answer: (B)

Verified step by step guidance

1. Recall that the geometric mean of two positive numbers \(a\) and \(b\) is given by the formula: \(\text{Geometric Mean} = \sqrt{a \times b}\).
2. Identify the two numbers given in the problem: \(a = 7\) and \(b = 56\).
3. Substitute these values into the formula: \(\sqrt{7 \times 56}\).
4. Calculate the product inside the square root: \$7 \times 56$.
5. Take the square root of the product to find the geometric mean.