Answer :

The answer to the expression is approximately 5.033.

To solve this problem, let's break it down step by step:

1. **Square root of 97.5**: The square root of 97.5 is approximately 9.873.

2. **Divide by 1.96**: Dividing 9.873 by 1.96 gives us approximately 5.033.

So, the result of the expression "97.5 to the square root divided by 1.96" is approximately 5.033.

In a more detailed explanation, 97.5 to the square root means finding the square root of 97.5, which is approximately 9.873. Then, this result is divided by 1.96, resulting in approximately 5.033.

This calculation can be expressed as:

[tex]\[ \frac{\sqrt{97.5}}{1.96} \approx \frac{9.873}{1.96} \approx 5.033 \][/tex]

So, the answer to the expression is approximately 5.033.

In essence, we've taken the square root of 97.5, then divided it by 1.96 to get the final result of approximately 5.033.