Given S = 124, estimate the following
√124 using the sandwich method
Find the highest perfect square < 124
For n = 1, we have 12 = 1
For n = 2, we have 22 = 4
For n = 3, we have 32 = 9
For n = 4, we have 42 = 16
For n = 5, we have 52 = 25
For n = 6, we have 62 = 36
For n = 7, we have 72 = 49
For n = 8, we have 82 = 64
For n = 9, we have 92 = 81
For n = 10, we have 102 = 100
For n = 11, we have 112 = 121
For n = 12, we have 122 = 144
Since 122 = 144 > 124:
we use as our right endpoint.
Now, we find the low end number
(12 - 1)2 = 112 = 121
Therefore, √124 is between 11 and 12
11 < √124 < 12
