Table of Contents
47 squared, (47)2, is the number you get when multiplying 47 times 47.
It can also be looked at as exponentiation involving the base 47 and the exponent 2.
The term is usually pronounced forty-seven times forty-seven or forty-seven squared.
The square of 47 is a perfect square because the number is the product of the two equal integers 47.
It can be written as 47 × 47 or in exponential form.
Read on to learn everything about the number forty-seven squared, including useful identities.
Calculator
(47)2 = 2,209
47 × 47 = 2,209
The inverse operation of squaring forty-seven is extracting the square root of 47, explained here.
In the next section we elaborate on what is 47 squared and there you can also find our calculator.
What is 47 Squared?
A square is a flat shape with four equal sides; every angle is 90°.
Hence, a square with side length 47 has an area of 2,209.
47 squared equals the sum of the first 47 odd numbers:
In addition, the number can be calculated from 46 squared using the following identity:
n2 = (n − 1)2 + (n − 1) + n = (n − 1)2 + (2n − 1)
(47)2 = 462 + 46 + 47 = 462 + 93 = 2,209
It can be also be computed from 46 squared with this identity:
n2 = 2 x (n − 1)2 − (n − 2)2 + 2
(47)2 = 2 x 462 – 452 + 2 = 2 x 2116 – 2025 + 2 = 2,209
The difference between the perfect square of 47 and its predecessor, 46, can be calculated with the identity n2 − (n − 1)2 = 2n − 1:
2 x 47 – 1 = 93 = (47)2 – 462 = 2,209 – 2116 = 93
47 is odd, and the square numbers of odd numbers are also odd: (2n + 1)2 = 4 × (n2 + n) + 1.
Squares of odd numbers like 47 are of the form 8n + 1, because (2n + 1)2 = 4n × (n + 1) + 1;
n × (n + 1) is an even number.
If you want to calculate the square of any number, not only integers like 47, you can use our calculator above.
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A square similar to 47 is, for example: square of 49.
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The following table contains the squares of numbers close to 47.
Table
| Number | Square |
|---|---|
| 42 | 1,764 |
| 43 | 1,849 |
| 44 | 1,936 |
| 45 | 2,025 |
| 46 | 2,116 |
| 47 | 2,209 |
| 48 | 2,304 |
| 49 | 2,401 |
| 50 | 2,500 |
| 51 | 2,601 |
| 52 | 2,704 |
Forty-Seven Squared
By reading so far you know all about squaring the number 47 and calculating it using recursive methods, or as sum, product or by exponentiation.
47 squared is equivalent to 2,209.
If you were searching for what is 47 squared in math or if you typed whats 47 squared in the search engine you now have all the answers, too.
The same goes for searches like square47, and 47 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 47 squared using the search form in the sidebar of this page.
Ahead is the summary of our information.
Conclusion
To sum up,
47 squared = 47 × 47 = (47)2 = 2,209.
The exponentiation form is mostly used to denote forty-seven squared.
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– Article written by Mark, last updated on November 26th, 2023