Final answer:
When estimating the value of a square root, the best approach is to choose perfect squares that are close to the number in question, as this provides a reasonable starting point for approximation.
Step-by-step explanation:
When estimating the value of a square root, it is most effective to start with perfect squares close to the number you are trying to estimate. This method provides a reasonable approximation and allows for refinement if needed.
For example, if you need to estimate the square root of 50, you know that the perfect squares closest to 50 are 49 and 64, which are the squares of 7 and 8, respectively. Hence, you would estimate that the square root of 50 is slightly more than 7. This process relies on familiarity with perfect squares, which may be easier to remember and compare than other numbers.
Using this tactic aligns with the available options, so the correct answer to the question is: B) Choose perfect squares close to the number.
When presented with numbers on a test or in the real world that are not perfect squares, having a grasp of nearby perfect squares will provide an immediate estimate which you can then refine using further calculations or, when precision is essential, with a calculator. If you're unsure about how to perform these operations, consulting an instructor is a recommended step.