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120 squared, (120)2, is the number you get when multiplying 120 times 120.
It can also be looked at as exponentiation involving the base 120 and the exponent 2.
The term is usually pronounced one hundred twenty times one hundred twenty or one hundred twenty squared.
The square of 120 is a perfect square because the number is the product of the two equal integers 120.
It can be written as 120 × 120 or in exponential form.
Read on to learn everything about the number one hundred twenty squared, including useful identities.
Calculator
(120)2 = 14,400
120 × 120 = 14,400
The inverse operation of squaring one hundred twenty is extracting the square root of 120, explained here.
In the next section we elaborate on what is 120 squared and there you can also find our calculator.
What is 120 Squared?
A square is a flat shape with four equal sides; every angle is 90°.
Hence, a square with side length 120 has an area of 14,400.
120 squared equals the sum of the first 120 odd numbers:
In addition, the number can be calculated from 119 squared using the following identity:
n2 = (n − 1)2 + (n − 1) + n = (n − 1)2 + (2n − 1)
(120)2 = 1192 + 119 + 120 = 1192 + 239 = 14,400
It can be also be computed from 119 squared with this identity:
n2 = 2 x (n − 1)2 − (n − 2)2 + 2
(120)2 = 2 x 1192 – 1182 + 2 = 2 x 14161 – 13924 + 2 = 14,400
The difference between the perfect square of 120 and its predecessor, 119, can be calculated with the identity n2 − (n − 1)2 = 2n − 1:
2 x 120 – 1 = 239 = (120)2 – 1192 = 14,400 – 14161 = 239
120 is even, and the square numbers of even numbers are also even: (2n)2 = 4n2.
Squares of even numbers like 120 are divisible by 4 for
= n2.
If you want to calculate the square of any number, not only integers like 120, you can use our calculator above.
Enter your number; nothing else to be done.
A square similar to 120 is, for example: square of 122.
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The following table contains the squares of numbers close to 120.
Table
| Number | Square |
|---|---|
| 115 | 13,225 |
| 116 | 13,456 |
| 117 | 13,689 |
| 118 | 13,924 |
| 119 | 14,161 |
| 120 | 14,400 |
| 121 | 14,641 |
| 122 | 14,884 |
| 123 | 15,129 |
| 124 | 15,376 |
| 125 | 15,625 |
One Hundred Twenty Squared
By reading so far you know all about squaring the number 120 and calculating it using recursive methods, or as sum, product or by exponentiation.
120 squared is equivalent to 14,400.
If you were searching for what is 120 squared in math or if you typed whats 120 squared in the search engine you now have all the answers, too.
The same goes for searches like square120, and 120 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 120 squared using the search form in the sidebar of this page.
Ahead is the summary of our information.
Conclusion
To sum up,
120 squared = 120 × 120 = (120)2 = 14,400.
The exponentiation form is mostly used to denote one hundred twenty squared.
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– Article written by Mark, last updated on November 26th, 2023