estimatesquarerootof136
Given S = 136, estimate the following
√136 using the sandwich method
Find the highest perfect square < 136
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 > 136:
we use as our right endpoint.
Now, we find the low end number
(12 - 1)2 = 112 = 121
Therefore, √136 is between 11 and 12
11 < √136 < 12
What is the Answer?
11 < √136 < 12
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Take √nFind n such that (n - 1)2 < n2 < (n + 1)2
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What 5 concepts are covered in the Estimate Square Roots Calculator?
estimatean approximate calculation or judgment of the value, number, quantityexponentThe power to raise a numberfractionhow many parts of a certain size exista/b where a is the numerator and b is the denominatorpowerhow many times to use the number in a multiplicationsquare roota factor of a number that, when multiplied by itself, gives the original number
√x
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