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114 squared, (114)2, is the number you get when multiplying 114 times 114.
It can also be looked at as exponentiation involving the base 114 and the exponent 2.
The term is usually pronounced one hundred fourteen times one hundred fourteen or one hundred fourteen squared.
The square of 114 is a perfect square because the number is the product of the two equal integers 114.
It can be written as 114 × 114 or in exponential form.
Read on to learn everything about the number one hundred fourteen squared, including useful identities.
Calculator
(114)2 = 12,996
114 × 114 = 12,996
The inverse operation of squaring one hundred fourteen is extracting the square root of 114, explained here.
In the next section we elaborate on what is 114 squared and there you can also find our calculator.
What is 114 Squared?
A square is a flat shape with four equal sides; every angle is 90°.
Hence, a square with side length 114 has an area of 12,996.
114 squared equals the sum of the first 114 odd numbers:
In addition, the number can be calculated from 113 squared using the following identity:
n2 = (n − 1)2 + (n − 1) + n = (n − 1)2 + (2n − 1)
(114)2 = 1132 + 113 + 114 = 1132 + 227 = 12,996
It can be also be computed from 113 squared with this identity:
n2 = 2 x (n − 1)2 − (n − 2)2 + 2
(114)2 = 2 x 1132 – 1122 + 2 = 2 x 12769 – 12544 + 2 = 12,996
The difference between the perfect square of 114 and its predecessor, 113, can be calculated with the identity n2 − (n − 1)2 = 2n − 1:
2 x 114 – 1 = 227 = (114)2 – 1132 = 12,996 – 12769 = 227
114 is even, and the square numbers of even numbers are also even: (2n)2 = 4n2.
Squares of even numbers like 114 are divisible by 4 for
= n2.
If you want to calculate the square of any number, not only integers like 114, you can use our calculator above.
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A square similar to 114 is, for example: square of 116.
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The following table contains the squares of numbers close to 114.
Table
| Number | Square |
|---|---|
| 109 | 11,881 |
| 110 | 12,100 |
| 111 | 12,321 |
| 112 | 12,544 |
| 113 | 12,769 |
| 114 | 12,996 |
| 115 | 13,225 |
| 116 | 13,456 |
| 117 | 13,689 |
| 118 | 13,924 |
| 119 | 14,161 |
One Hundred Fourteen Squared
By reading so far you know all about squaring the number 114 and calculating it using recursive methods, or as sum, product or by exponentiation.
114 squared is equivalent to 12,996.
If you were searching for what is 114 squared in math or if you typed whats 114 squared in the search engine you now have all the answers, too.
The same goes for searches like square114, and 114 to the 2nd power, just to name a few more examples people are often looking for.
Note that you can also find many perfect squares including 114 squared using the search form in the sidebar of this page.
Ahead is the summary of our information.
Conclusion
To sum up,
114 squared = 114 × 114 = (114)2 = 12,996.
The exponentiation form is mostly used to denote one hundred fourteen squared.
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– Article written by Mark, last updated on November 26th, 2023