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82 Squared

82 squared, (82)2, is the number you get when multiplying 82 times 82.

It can also be looked at as exponentiation involving the base 82 and the exponent 2.

The term is usually pronounced eighty-two times eighty-two or eighty-two squared.

The square of 82 is a perfect square because the number is the product of the two equal integers 82.

It can be written as 82 × 82 or in exponential form.

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

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(82)2 = 6,724
82 × 82 = 6,724
The inverse operation of squaring eighty-two is extracting the square root of 82, explained here.

In the next section we elaborate on what is 82 squared and there you can also find our calculator.

What is 82 Squared?

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

Hence, a square with side length 82 has an area of 6,724.

82 squared equals the sum of the first 82 odd numbers:


In addition, the number can be calculated from 81 squared using the following identity:

n2 = (n − 1)2 + (n − 1) + n = (n − 1)2 + (2n − 1)
(82)2 = 812 + 81 + 82 = 812 + 163 = 6,724

It can be also be computed from 81 squared with this identity:

n2 = 2 x (n − 1)2 − (n − 2)2 + 2
(82)2 = 2 x 812 – 802 + 2 = 2 x 6561 – 6400 + 2 = 6,724

The difference between the perfect square of 82 and its predecessor, 81, can be calculated with the identity n2 − (n − 1)2 = 2n − 1:

2 x 82 – 1 = 163 = (82)2 – 812 = 6,724 – 6561 = 163

82 is even, and the square numbers of even numbers are also even: (2n)2 = 4n2.

Squares of even numbers like 82 are divisible by 4 for


= n2.

If you want to calculate the square of any number, not only integers like 82, you can use our calculator above.

Enter your number; nothing else to be done.

A square similar to 82 is, for example: square of 84.


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The following table contains the squares of numbers close to 82.

Table

NumberSquare
775,929
786,084
796,241
806,400
816,561
826,724
836,889
847,056
857,225
867,396
877,569

Eighty-Two Squared

By reading so far you know all about squaring the number 82 and calculating it using recursive methods, or as sum, product or by exponentiation.

82 squared is equivalent to 6,724.

If you were searching for what is 82 squared in math or if you typed whats 82 squared in the search engine you now have all the answers, too.

The same goes for searches like square82, and 82 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 82 squared using the search form in the sidebar of this page.

Ahead is the summary of our information.

Conclusion

To sum up,

82 squared = 82 × 82 = (82)2 = 6,724.

The exponentiation form is mostly used to denote eighty-two squared.

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