## Enter Number for Square Root Estimate

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

11 < √124 < 12
##### How does the Estimate Square Roots Calculator work?
Free Estimate Square Roots Calculator - Estimates the square root of a number
This calculator has 1 input.

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

Take √n
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