855 Squared

855 squared, (855)², is the number you get when multiplying 855 times 855.

It can also be looked at as exponentiation involving the base 855 and the exponent 2.

The term is usually pronounced eight hundred fifty-five times eight hundred fifty-five or eight hundred fifty-five squared.

The square of 855 is a perfect square because the number is the product of the two equal integers 855.

It can be written as 855 × 855 or in exponential form.

Read on to learn everything about the number eight hundred fifty-five squared, including useful identities.

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(855)² = 731,025
855 × 855 = 731,025
The inverse operation of squaring eight hundred fifty-five is extracting the square root of 855, explained here.

In the next section we elaborate on what is 855 squared and there you can also find our calculator.

What is 855 Squared?

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

Hence, a square with side length 855 has an area of 731,025.

855 squared equals the sum of the first 855 odd numbers:

In addition, the number can be calculated from 854 squared using the following identity:

n² = (n − 1)² + (n − 1) + n = (n − 1)² + (2n − 1)
(855)² = 854² + 854 + 855 = 854² + 1709 = 731,025

It can be also be computed from 854 squared with this identity:

n² = 2 x (n − 1)² − (n − 2)² + 2
(855)² = 2 x 854² – 853² + 2 = 2 x 729316 – 727609 + 2 = 731,025

The difference between the perfect square of 855 and its predecessor, 854, can be calculated with the identity n² − (n − 1)² = 2n − 1:

2 x 855 – 1 = 1709 = (855)² – 854² = 731,025 – 729316 = 1709

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

Squares of odd numbers like 855 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 855, you can use our calculator above.

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A square similar to 855 is, for example: square of 857.


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The following table contains the squares of numbers close to 855.

Table

Eight Hundred Fifty-Five Squared

By reading so far you know all about squaring the number 855 and calculating it using recursive methods, or as sum, product or by exponentiation.

855 squared is equivalent to 731,025.

If you were searching for what is 855 squared in math or if you typed whats 855 squared in the search engine you now have all the answers, too.

The same goes for searches like square855, and 855 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 855 squared using the search form in the sidebar of this page.

Ahead is the summary of our information.

Conclusion

To sum up,

855 squared = 855 × 855 = (855)² = 731,025.

The exponentiation form is mostly used to denote eight hundred fifty-five squared.

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