Final answer:
The largest integer less than the sum of the square roots of 80 and 120 is 19.
Step-by-step explanation:
The question asks for the largest integer that is less than the sum of the square roots of 80 and 120.
To find the square root of a number, we can use a calculator. The square root of 80 is approximately 8.94, and the square root of 120 is approximately 10.95. Adding these two numbers gives us 8.94 + 10.95 ≈ 19.89.
The largest integer less than 19.89 is 19. Therefore, the largest integer less than the sum of the square root of 80 and the square root of 120 is 19.