The square root of a number between 10 and 11 can be approximated by finding the average of the square roots of 10 and 11. The square root of 10 is approximately 3.1623, and the square root of 11 is approximately 3.3166. Therefore, the square root of a number between 10 and 11 would be approximately 3.23945.
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Since 10 squared is 100, and 11 squared is 121, the square root of any number between 100 and 121 will be between 10 and 11.
The positive square root of 115 lies between the positive square roots of 114 and 116.The positive square root of 115 lies between the positive square roots of 114 and 116.The positive square root of 115 lies between the positive square roots of 114 and 116.The positive square root of 115 lies between the positive square roots of 114 and 116.
(10)2 = 100 (11)2 = 121 Since 114 is between 100 and 121, its square root must be between 10 and 11.
-11 and -10 or 10 and 11.
-11 and -10 or 10 and 11
10 and 11