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estimatesqrt(124)

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Given S = 124, calculate √124 using the Calculate

Let N be the highest perfect square number less than 124

Find the highest perfect square number less than 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, which is (12 - 1)2 = 112 = 121

Therefore, √124 is between 11 and 12
11 < √124 < 12




What is the Answer?

11 < √124 < 12

How does the Estimate Square Roots Calculator work?

Estimates the square root of a number
This calculator has 1 input.

What 2 formulas are used for the Estimate Square Roots Calculator?

  1. Take √n
  2. Find n such that (n - 1)2 < n2 < (n + 1)2

For more math formulas, check out our Formula Dossier

What 5 concepts are covered in the Estimate Square Roots Calculator?

estimate
an approximate calculation or judgment of the value, number, quantity
exponent
The power to raise a number
fraction
how many parts of a certain size exist
a/b where a is the numerator and b is the denominator
power
how many times to use the number in a multiplication
square root
a factor of a number that, when multiplied by itself, gives the original number
√x

Example calculations for the Estimate Square Roots Calculator

  1. estimate sqrt(124)
  2. estimate Square root of 136

Estimate Square Roots Calculator Video


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