Table of Contents
996 squared, (996)2, is the number you get when multiplying 996 times 996.
It can also be looked at as exponentiation involving the base 996 and the exponent 2.
The term is usually pronounced nine hundred ninety-six times nine hundred ninety-six or nine hundred ninety-six squared.
The square of 996 is a perfect square because the number is the product of the two equal integers 996.
It can be written as 996 × 996 or in exponential form.
Read on to learn everything about the number nine hundred ninety-six squared, including useful identities.
Calculator
(996)2 = 992,016
996 × 996 = 992,016
The inverse operation of squaring nine hundred ninety-six is extracting the square root of 996, explained here.
In the next section we elaborate on what is 996 squared and there you can also find our calculator.
What is 996 Squared?
A square is a flat shape with four equal sides; every angle is 90°.
Hence, a square with side length 996 has an area of 992,016.
996 squared equals the sum of the first 996 odd numbers:
In addition, the number can be calculated from 995 squared using the following identity:
n2 = (n − 1)2 + (n − 1) + n = (n − 1)2 + (2n − 1)
(996)2 = 9952 + 995 + 996 = 9952 + 1991 = 992,016
It can be also be computed from 995 squared with this identity:
n2 = 2 x (n − 1)2 − (n − 2)2 + 2
(996)2 = 2 x 9952 – 9942 + 2 = 2 x 990025 – 988036 + 2 = 992,016
The difference between the perfect square of 996 and its predecessor, 995, can be calculated with the identity n2 − (n − 1)2 = 2n − 1:
2 x 996 – 1 = 1991 = (996)2 – 9952 = 992,016 – 990025 = 1991
996 is even, and the square numbers of even numbers are also even: (2n)2 = 4n2.
Squares of even numbers like 996 are divisible by 4 for
= n2.
If you want to calculate the square of any number, not only integers like 996, you can use our calculator above.
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A square similar to 996 is, for example: square of 998.
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The following table contains the squares of numbers close to 996.
Table
| Number | Square |
|---|---|
| 991 | 982,081 |
| 992 | 984,064 |
| 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 |
Nine Hundred Ninety-Six Squared
By reading so far you know all about squaring the number 996 and calculating it using recursive methods, or as sum, product or by exponentiation.
996 squared is equivalent to 992,016.
If you were searching for what is 996 squared in math or if you typed whats 996 squared in the search engine you now have all the answers, too.
The same goes for searches like square996, and 996 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 996 squared using the search form in the sidebar of this page.
Ahead is the summary of our information.
Conclusion
To sum up,
996 squared = 996 × 996 = (996)2 = 992,016.
The exponentiation form is mostly used to denote nine hundred ninety-six squared.
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– Article written by Mark, last updated on November 26th, 2023