[INST] Write a math equation to find the geometric mean between two numbers/n10 and 15 [/INST]  ###Response: The geometric mean between two numbers (a and b) can be calculated using the following equation: 

Geometric Mean = √ab

In the case of the numbers 10 and 15, the geometric mean would be calculated as follows: 

Geometric Mean = √(10 x 15)
              = √150
              ≈ 12.247