Evaluate a mixed fraction inside a square root: Compute √(110 1/4).

Introduction / Context:
This question checks recognizing perfect decimal squares in mixed fractions.

Given Data / Assumptions:
Inside the root we have 110 1/4 = 110.25.

Concept / Approach:
Recall 10.5^2 = (10 + 0.5)^2 = 100 + 10 + 0.25 = 110.25.

Step-by-Step Solution:
Convert mixed number: 110 1/4 = 110.25.Recognize 10.5^2 = 110.25.Therefore, √(110 1/4) = 10.5.

Verification / Alternative check:
Square 10.5 directly to confirm: 110.25.

Why Other Options Are Wrong:
19.5, 11.5, 10.25, 9.5 do not square to 110.25.

Common Pitfalls:
Misconverting the mixed number, or confusing 10.25^2 with 10.5^2.

Final Answer:
10.5