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987 Squared

987 squared, (987)2, is the number you get when multiplying 987 times 987.

It can also be looked at as exponentiation involving the base 987 and the exponent 2.

The term is usually pronounced nine hundred eighty-seven times nine hundred eighty-seven or nine hundred eighty-seven squared.

The square of 987 is a perfect square because the number is the product of the two equal integers 987.

It can be written as 987 × 987 or in exponential form.

Read on to learn everything about the number nine hundred eighty-seven squared, including useful identities.

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(987)2 = 974,169
987 × 987 = 974,169
The inverse operation of squaring nine hundred eighty-seven is extracting the square root of 987, explained here.

In the next section we elaborate on what is 987 squared and there you can also find our calculator.

What is 987 Squared?

A square is a flat shape with four equal sides; every angle is 90°.

Hence, a square with side length 987 has an area of 974,169.

987 squared equals the sum of the first 987 odd numbers:


In addition, the number can be calculated from 986 squared using the following identity:

n2 = (n − 1)2 + (n − 1) + n = (n − 1)2 + (2n − 1)
(987)2 = 9862 + 986 + 987 = 9862 + 1973 = 974,169

It can be also be computed from 986 squared with this identity:

n2 = 2 x (n − 1)2 − (n − 2)2 + 2
(987)2 = 2 x 9862 – 9852 + 2 = 2 x 972196 – 970225 + 2 = 974,169

The difference between the perfect square of 987 and its predecessor, 986, can be calculated with the identity n2 − (n − 1)2 = 2n − 1:

2 x 987 – 1 = 1973 = (987)2 – 9862 = 974,169 – 972196 = 1973

987 is odd, and the square numbers of odd numbers are also odd: (2n + 1)2 = 4 × (n2 + n) + 1.

Squares of odd numbers like 987 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 987, you can use our calculator above.

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A square similar to 987 is, for example: square of 989.


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The following table contains the squares of numbers close to 987.

Table

NumberSquare
982964,324
983966,289
984968,256
985970,225
986972,196
987974,169
988976,144
989978,121
990980,100
991982,081
992984,064

Nine Hundred Eighty-Seven Squared

By reading so far you know all about squaring the number 987 and calculating it using recursive methods, or as sum, product or by exponentiation.

987 squared is equivalent to 974,169.

If you were searching for what is 987 squared in math or if you typed whats 987 squared in the search engine you now have all the answers, too.

The same goes for searches like square987, and 987 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 987 squared using the search form in the sidebar of this page.

Ahead is the summary of our information.

Conclusion

To sum up,

987 squared = 987 × 987 = (987)2 = 974,169.

The exponentiation form is mostly used to denote nine hundred eighty-seven squared.

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– Article written by Mark, last updated on November 26th, 2023