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240 squared, (240)2, is the number you get when multiplying 240 times 240.
It can also be looked at as exponentiation involving the base 240 and the exponent 2.
The term is usually pronounced two hundred forty times two hundred forty or two hundred forty squared.
The square of 240 is a perfect square because the number is the product of the two equal integers 240.
It can be written as 240 × 240 or in exponential form.
Read on to learn everything about the number two hundred forty squared, including useful identities.
Calculator
(240)2 = 57,600
240 × 240 = 57,600
The inverse operation of squaring two hundred forty is extracting the square root of 240, explained here.
In the next section we elaborate on what is 240 squared and there you can also find our calculator.
What is 240 Squared?
A square is a flat shape with four equal sides; every angle is 90°.
Hence, a square with side length 240 has an area of 57,600.
240 squared equals the sum of the first 240 odd numbers:
In addition, the number can be calculated from 239 squared using the following identity:
n2 = (n − 1)2 + (n − 1) + n = (n − 1)2 + (2n − 1)
(240)2 = 2392 + 239 + 240 = 2392 + 479 = 57,600
It can be also be computed from 239 squared with this identity:
n2 = 2 x (n − 1)2 − (n − 2)2 + 2
(240)2 = 2 x 2392 – 2382 + 2 = 2 x 57121 – 56644 + 2 = 57,600
The difference between the perfect square of 240 and its predecessor, 239, can be calculated with the identity n2 − (n − 1)2 = 2n − 1:
2 x 240 – 1 = 479 = (240)2 – 2392 = 57,600 – 57121 = 479
240 is even, and the square numbers of even numbers are also even: (2n)2 = 4n2.
Squares of even numbers like 240 are divisible by 4 for
= n2.
If you want to calculate the square of any number, not only integers like 240, you can use our calculator above.
Enter your number; nothing else to be done.
A square similar to 240 is, for example: square of 242.
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The following table contains the squares of numbers close to 240.
Table
| Number | Square |
|---|---|
| 235 | 55,225 |
| 236 | 55,696 |
| 237 | 56,169 |
| 238 | 56,644 |
| 239 | 57,121 |
| 240 | 57,600 |
| 241 | 58,081 |
| 242 | 58,564 |
| 243 | 59,049 |
| 244 | 59,536 |
| 245 | 60,025 |
Two Hundred Forty Squared
By reading so far you know all about squaring the number 240 and calculating it using recursive methods, or as sum, product or by exponentiation.
240 squared is equivalent to 57,600.
If you were searching for what is 240 squared in math or if you typed whats 240 squared in the search engine you now have all the answers, too.
The same goes for searches like square240, and 240 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 240 squared using the search form in the sidebar of this page.
Ahead is the summary of our information.
Conclusion
To sum up,
240 squared = 240 × 240 = (240)2 = 57,600.
The exponentiation form is mostly used to denote two hundred forty squared.
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– Article written by Mark, last updated on November 26th, 2023