Which of the following pairs of numbers provide the best estimate of square root 53?
Responses
square root 36 and square root 64
square root 64 and square root 81
square root 36 and square root 49
square root 49 and square root 64
To provide the best estimate of the square root of 53, we should find two perfect squares that are closest to 53 on either side. The square root of 36 is 6, and the square root of 49 is 7, which means that the square root of 53 will fall between these two roots since 36 < 53 < 49. Similarly, the square root of 64 is 8.
Since 49 is closer to 53 than 36, and 64 is the next perfect square after 53, the pair of numbers that provide the best estimate of the square root of 53 would be:
- square root 49 and square root 64
Hence, the square root of 53 is somewhere between 7 and 8.