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52 squared, (52)2, is the number you get when multiplying 52 times 52.
It can also be looked at as exponentiation involving the base 52 and the exponent 2.
The term is usually pronounced fifty-two times fifty-two or fifty-two squared.
The square of 52 is a perfect square because the number is the product of the two equal integers 52.
It can be written as 52 × 52 or in exponential form.
Read on to learn everything about the number fifty-two squared, including useful identities.
Calculator
(52)2 = 2,704
52 × 52 = 2,704
The inverse operation of squaring fifty-two is extracting the square root of 52, explained here.
In the next section we elaborate on what is 52 squared and there you can also find our calculator.
What is 52 Squared?
A square is a flat shape with four equal sides; every angle is 90°.
Hence, a square with side length 52 has an area of 2,704.
52 squared equals the sum of the first 52 odd numbers:
In addition, the number can be calculated from 51 squared using the following identity:
n2 = (n − 1)2 + (n − 1) + n = (n − 1)2 + (2n − 1)
(52)2 = 512 + 51 + 52 = 512 + 103 = 2,704
It can be also be computed from 51 squared with this identity:
n2 = 2 x (n − 1)2 − (n − 2)2 + 2
(52)2 = 2 x 512 – 502 + 2 = 2 x 2601 – 2500 + 2 = 2,704
The difference between the perfect square of 52 and its predecessor, 51, can be calculated with the identity n2 − (n − 1)2 = 2n − 1:
2 x 52 – 1 = 103 = (52)2 – 512 = 2,704 – 2601 = 103
52 is even, and the square numbers of even numbers are also even: (2n)2 = 4n2.
Squares of even numbers like 52 are divisible by 4 for
= n2.
If you want to calculate the square of any number, not only integers like 52, you can use our calculator above.
Enter your number; nothing else to be done.
A square similar to 52 is, for example: square of 54.
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The following table contains the squares of numbers close to 52.
Table
| Number | Square |
|---|---|
| 47 | 2,209 |
| 48 | 2,304 |
| 49 | 2,401 |
| 50 | 2,500 |
| 51 | 2,601 |
| 52 | 2,704 |
| 53 | 2,809 |
| 54 | 2,916 |
| 55 | 3,025 |
| 56 | 3,136 |
| 57 | 3,249 |
Fifty-Two Squared
By reading so far you know all about squaring the number 52 and calculating it using recursive methods, or as sum, product or by exponentiation.
52 squared is equivalent to 2,704.
If you were searching for what is 52 squared in math or if you typed whats 52 squared in the search engine you now have all the answers, too.
The same goes for searches like square52, and 52 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 52 squared using the search form in the sidebar of this page.
Ahead is the summary of our information.
Conclusion
To sum up,
52 squared = 52 × 52 = (52)2 = 2,704.
The exponentiation form is mostly used to denote fifty-two squared.
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– Article written by Mark, last updated on November 26th, 2023