square root of 11 lies between
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Square Root of 11 by Long Division Method
To find the square root of 11, use the long division method to get the approximate value. Therefore, √11 = 3.31662479036.
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My phone doesn’t have an option for mathematical notation, so for simplicity I’ll use [n] to denote the square root of n
1 < [2] < 2
3 < [11] < 4
5 < [33] < 6
6 < [45] < 7
7 < [50] < 8
8 < [84] < 9
12 < [150] < 13
14 < [200] < 15
The first 12 or so perfect squares should be fairly easy to memorize if you know your “times tables”. When an integer (n) falls between two squares (a^2 and b^2), [n] will fall between a and b. So if we know that 36 = 6^2 and 49 = 7^2, then [n] for any n > 36 and < 49 will be between 6 and 7.
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