Table of Contents
48 squared, (48)2, is the number you get when multiplying 48 times 48.
It can also be looked at as exponentiation involving the base 48 and the exponent 2.
The term is usually pronounced forty-eight times forty-eight or forty-eight squared.
The square of 48 is a perfect square because the number is the product of the two equal integers 48.
It can be written as 48 × 48 or in exponential form.
Read on to learn everything about the number forty-eight squared, including useful identities.
Calculator
(48)2 = 2,304
48 × 48 = 2,304
The inverse operation of squaring forty-eight is extracting the square root of 48, explained here.
In the next section we elaborate on what is 48 squared and there you can also find our calculator.
What is 48 Squared?
A square is a flat shape with four equal sides; every angle is 90°.
Hence, a square with side length 48 has an area of 2,304.
48 squared equals the sum of the first 48 odd numbers:
In addition, the number can be calculated from 47 squared using the following identity:
n2 = (n − 1)2 + (n − 1) + n = (n − 1)2 + (2n − 1)
(48)2 = 472 + 47 + 48 = 472 + 95 = 2,304
It can be also be computed from 47 squared with this identity:
n2 = 2 x (n − 1)2 − (n − 2)2 + 2
(48)2 = 2 x 472 – 462 + 2 = 2 x 2209 – 2116 + 2 = 2,304
The difference between the perfect square of 48 and its predecessor, 47, can be calculated with the identity n2 − (n − 1)2 = 2n − 1:
2 x 48 – 1 = 95 = (48)2 – 472 = 2,304 – 2209 = 95
48 is even, and the square numbers of even numbers are also even: (2n)2 = 4n2.
Squares of even numbers like 48 are divisible by 4 for
= n2.
If you want to calculate the square of any number, not only integers like 48, you can use our calculator above.
Enter your number; nothing else to be done.
A square similar to 48 is, for example: square of 50.
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The following table contains the squares of numbers close to 48.
Table
| Number | Square |
|---|---|
| 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 |
| 53 | 2,809 |
Forty-Eight Squared
By reading so far you know all about squaring the number 48 and calculating it using recursive methods, or as sum, product or by exponentiation.
48 squared is equivalent to 2,304.
If you were searching for what is 48 squared in math or if you typed whats 48 squared in the search engine you now have all the answers, too.
The same goes for searches like square48, and 48 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 48 squared using the search form in the sidebar of this page.
Ahead is the summary of our information.
Conclusion
To sum up,
48 squared = 48 × 48 = (48)2 = 2,304.
The exponentiation form is mostly used to denote forty-eight squared.
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– Article written by Mark, last updated on November 26th, 2023