Final Answer:
To two decimal places, the square root of 41 must lie between:b. 6.32
Step-by-step explanation:
To determine the square root of 41 to two decimal places, we can evaluate the values provided and find the one that falls within the required precision. The square root of 41 lies between the integers 6 and 7, as 6² = 36 and 7² = 49.
Considering the provided options, we find that the square root of 41 is approximately 6.40, which falls between 6.32 and 6.71. Therefore, the correct answer is b. 6.32.
Understanding the bounds within which the square root lies is essential. By recognizing that the square root of 41 is between the square roots of 36 and 49, we can narrow down the options and identify the correct approximation.
Calculating the square root of 41 directly gives a decimal expansion that falls between 6.32 and 6.71. Therefore, b. 6.32 is the accurate representation of the square root of 41 to two decimal places.