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50 squared, (50)2, is the number you get when multiplying 50 times 50.
It can also be looked at as exponentiation involving the base 50 and the exponent 2.
The term is usually pronounced fifty times fifty or fifty squared.
The square of 50 is a perfect square because the number is the product of the two equal integers 50.
It can be written as 50 × 50 or in exponential form.
Read on to learn everything about the number fifty squared, including useful identities.
Calculator
(50)2 = 2,500
50 × 50 = 2,500
The inverse operation of squaring fifty is extracting the square root of 50, explained here.
In the next section we elaborate on what is 50 squared and there you can also find our calculator.
What is 50 Squared?
A square is a flat shape with four equal sides; every angle is 90°.
Hence, a square with side length 50 has an area of 2,500.
50 squared equals the sum of the first 50 odd numbers:
In addition, the number can be calculated from 49 squared using the following identity:
n2 = (n − 1)2 + (n − 1) + n = (n − 1)2 + (2n − 1)
(50)2 = 492 + 49 + 50 = 492 + 99 = 2,500
It can be also be computed from 49 squared with this identity:
n2 = 2 x (n − 1)2 − (n − 2)2 + 2
(50)2 = 2 x 492 – 482 + 2 = 2 x 2401 – 2304 + 2 = 2,500
The difference between the perfect square of 50 and its predecessor, 49, can be calculated with the identity n2 − (n − 1)2 = 2n − 1:
2 x 50 – 1 = 99 = (50)2 – 492 = 2,500 – 2401 = 99
50 is even, and the square numbers of even numbers are also even: (2n)2 = 4n2.
Squares of even numbers like 50 are divisible by 4 for
= n2.
If you want to calculate the square of any number, not only integers like 50, you can use our calculator above.
Enter your number; nothing else to be done.
A square similar to 50 is, for example: square of 52.
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The following table contains the squares of numbers close to 50.
Table
| Number | Square |
|---|---|
| 45 | 2,025 |
| 46 | 2,116 |
| 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 |
Fifty Squared
By reading so far you know all about squaring the number 50 and calculating it using recursive methods, or as sum, product or by exponentiation.
50 squared is equivalent to 2,500.
If you were searching for what is 50 squared in math or if you typed whats 50 squared in the search engine you now have all the answers, too.
The same goes for searches like square50, and 50 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 50 squared using the search form in the sidebar of this page.
Ahead is the summary of our information.
Conclusion
To sum up,
50 squared = 50 × 50 = (50)2 = 2,500.
The exponentiation form is mostly used to denote fifty squared.
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– Article written by Mark, last updated on November 26th, 2023