The geometric mean of two numbers $a$ and $b$ is given by the formula:

$GM = \sqrt{a \times b}$

Without the image, I'll assume you need help calculating geometric means for given pairs. Here are a few examples:

1. If the geometric mean is 10:
   $\sqrt{a \times b} = 10$ Squaring both sides:
   $a \times b = 100$

2. If the geometric mean is 7:
   $\sqrt{a \times b} = 7$ Squaring both sides:
   $a \times b = 49$

3. If the geometric mean is 4:
   $\sqrt{a \times b} = 4$ Squaring both sides:
   $a \times b = 16$

4. If the geometric mean is 11:
   $\sqrt{a \times b} = 11$ Squaring both sides:
   $a \times b = 121$

Would you like me to check specific numbers for their geometric mean? You can upload an image if needed!

Here are 5 related questions to explore further:

1. What is the geometric mean of 8 and 18?
2. How does the geometric mean differ from the arithmetic mean?
3. If one number in a pair is 25 and the geometric mean is 5, what is the other number?
4. Can the geometric mean ever be greater than the arithmetic mean?
5. How is the geometric mean applied in real-life situations?

Tip: The geometric mean is particularly useful in calculating average rates of growth, like in finance and biology.