Which two square roots are used to estimate the square root of 42
To estimate the square root of 42, we can use the square roots of two perfect squares that are closest to 42.
The square root of 36 is 6, and the square root of 49 is 7.
Since 42 is between 36 and 49, we can estimate the square root of 42 as being between 6 and 7.
To estimate the square root of 42, we can use two square roots as reference points: the square root of 36 and the square root of 49.
The square root of 36 is 6 because 6 multiplied by itself (6 × 6) equals 36. This represents the largest perfect square less than 42.
The square root of 49 is 7 because 7 multiplied by itself (7 × 7) equals 49. This represents the smallest perfect square greater than 42.
By comparing the square roots of 36 and 49 to the number 42, we can estimate that the square root of 42 lies between 6 and 7.
The two square roots commonly used to estimate the square root of 42 are:
1. Square root of 36 = 6
2. Square root of 49 = 7
Since 42 falls between the squares of 6 and 7, we can estimate the square root of 42 to be between 6 and 7.