Final answer:
To estimate 12√3 between two consecutive whole numbers, multiply 12 with the approximate value of the square root of 3, which is approximately 1.732.
Step-by-step explanation:
To estimate 12√3 between two consecutive whole numbers, consider the square root of 3, which falls between 1 and 2. The approximation of √3 is commonly recognized as around 1.732. By multiplying 12 by this value, the estimation of 12√3 emerges as approximately 20.784. This calculation aids in contextualizing 12√3 within a numerical range, facilitating quick assessments in various mathematical and practical scenarios. This estimation technique, based on understanding the proximity of square roots to whole numbers, is a useful tool for mental calculations and approximations in mathematical problem-solving.