998 Squared

998 squared, 9982, 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 and ninety-eight times nine hundred and ninety-eight or nine hundred and 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 x 998 or in exponential form. Read on to learn everything about the number nine hundred and ninety-eight squared, including the useful identities.

9982 = 996004
998 x 998 = 996004

The inverse operation of squaring nine hundred and 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 996004.

998 squared equals the sum of the first 998 odd numbers:

\sum_{i=1}^{998} (2i-1) = 996004

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)
9982 = 9972 + 997 + 998 = 9972 + 1995 = 996004

It can be also be computed from 997 squared with this identity:

n2 = 2 x (n − 1)2 − (n − 2)2 + 2
9982 = 2 x 9972 – 9962 + 2 = 2 x 994009 – 992016 + 2 = 996004

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 = 9982 – 9972 = 996004 – 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 \frac{(2n)^{2}}{4} = n2.

If you want to calculate the square of any number, not only integers like 998, you can use our calculator below. Just insert your number; the calculation is done automatically.

Calculate Squared Number

If this tool has been valuable to you, then bookmark it now. Besides the square of nine hundred and ninety-eight, other squares on our site include, for instance:

998 Squared

Nine Hundred And 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 996004.

If you were searching for what is 998 squared in math or if you typed whats 998 squared in the search engine, then 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 and menu of this page.

To sum up,

998 squared = 998×998 = 9982 = 996004. The exponentiation form is mostly used to denote nine hundred and ninety-eight squared.

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