Find the geomertric mean of 4 and 25.

Explanation

To find the geometric mean of two numbers, we use the formula:

\[ \text{Geometric Mean} = \sqrt{A \times B} \]

where \( A \) and \( B \) are the two numbers. In this case, the numbers are 4 and 25.

### Step-by-Step Solution:

1. **Identify the numbers**:
We have \( A = 4 \) and \( B = 25 \).

2. **Multiply the numbers**:
Calculate \( A \times B \):
\[ 4 \times 25 = 100 \]

3. **Take the square root**:
Now, find the square root of the product:
\[ \sqrt{100} = 10 \]

4. **Conclusion**:
Therefore, the geometric mean of 4 and 25 is:
\[ \text{Geometric Mean} = 10 \]