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998 squared, (998)2, is the number you get when multiplying 998 times 998.
It can also be looked at as exponentiation involving the base 998 and the exponent 2.
The term is usually pronounced nine hundred ninety-eight times nine hundred ninety-eight or nine hundred ninety-eight squared.
The square of 998 is a perfect square because the number is the product of the two equal integers 998.
It can be written as 998 × 998 or in exponential form.
Read on to learn everything about the number nine hundred ninety-eight squared, including useful identities.
Calculator
(998)2 = 996,004
998 × 998 = 996,004
The inverse operation of squaring nine hundred ninety-eight is extracting the square root of 998, explained here.
In the next section we elaborate on what is 998 squared and there you can also find our calculator.
What is 998 Squared?
A square is a flat shape with four equal sides; every angle is 90°.
Hence, a square with side length 998 has an area of 996,004.
998 squared equals the sum of the first 998 odd numbers:
In addition, the number can be calculated from 997 squared using the following identity:
n2 = (n − 1)2 + (n − 1) + n = (n − 1)2 + (2n − 1)
(998)2 = 9972 + 997 + 998 = 9972 + 1995 = 996,004
It can be also be computed from 997 squared with this identity:
n2 = 2 x (n − 1)2 − (n − 2)2 + 2
(998)2 = 2 x 9972 – 9962 + 2 = 2 x 994009 – 992016 + 2 = 996,004
The difference between the perfect square of 998 and its predecessor, 997, can be calculated with the identity n2 − (n − 1)2 = 2n − 1:
2 x 998 – 1 = 1995 = (998)2 – 9972 = 996,004 – 994009 = 1995
998 is even, and the square numbers of even numbers are also even: (2n)2 = 4n2.
Squares of even numbers like 998 are divisible by 4 for
= n2.
If you want to calculate the square of any number, not only integers like 998, you can use our calculator above.
Enter your number; nothing else to be done.
A square similar to 998 is, for example: square of 1000.
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The following table contains the squares of numbers close to 998.
Table
| Number | Square |
|---|---|
| 993 | 986,049 |
| 994 | 988,036 |
| 995 | 990,025 |
| 996 | 992,016 |
| 997 | 994,009 |
| 998 | 996,004 |
| 999 | 998,001 |
| 1000 | 1,000,000 |
| 1001 | 1,002,001 |
| 1002 | 1,004,004 |
| 1003 | 1,006,009 |
Nine Hundred Ninety-Eight Squared
By reading so far you know all about squaring the number 998 and calculating it using recursive methods, or as sum, product or by exponentiation.
998 squared is equivalent to 996,004.
If you were searching for what is 998 squared in math or if you typed whats 998 squared in the search engine you now have all the answers, too.
The same goes for searches like square998, and 998 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 998 squared using the search form in the sidebar of this page.
Ahead is the summary of our information.
Conclusion
To sum up,
998 squared = 998 × 998 = (998)2 = 996,004.
The exponentiation form is mostly used to denote nine hundred ninety-eight squared.
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– Article written by Mark, last updated on November 26th, 2023