789 Squared

789 squared, (789)², is the number you get when multiplying 789 times 789.

It can also be looked at as exponentiation involving the base 789 and the exponent 2.

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

The square of 789 is a perfect square because the number is the product of the two equal integers 789.

It can be written as 789 × 789 or in exponential form.

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

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(789)² = 622,521
789 × 789 = 622,521
The inverse operation of squaring seven hundred eighty-nine is extracting the square root of 789, explained here.

In the next section we elaborate on what is 789 squared and there you can also find our calculator.

What is 789 Squared?

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

Hence, a square with side length 789 has an area of 622,521.

789 squared equals the sum of the first 789 odd numbers:

In addition, the number can be calculated from 788 squared using the following identity:

n² = (n − 1)² + (n − 1) + n = (n − 1)² + (2n − 1)
(789)² = 788² + 788 + 789 = 788² + 1577 = 622,521

It can be also be computed from 788 squared with this identity:

n² = 2 x (n − 1)² − (n − 2)² + 2
(789)² = 2 x 788² – 787² + 2 = 2 x 620944 – 619369 + 2 = 622,521

The difference between the perfect square of 789 and its predecessor, 788, can be calculated with the identity n² − (n − 1)² = 2n − 1:

2 x 789 – 1 = 1577 = (789)² – 788² = 622,521 – 620944 = 1577

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

Squares of odd numbers like 789 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 789, you can use our calculator above.

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A square similar to 789 is, for example: square of 791.


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The following table contains the squares of numbers close to 789.

Table

Seven Hundred Eighty-Nine Squared

By reading so far you know all about squaring the number 789 and calculating it using recursive methods, or as sum, product or by exponentiation.

789 squared is equivalent to 622,521.

If you were searching for what is 789 squared in math or if you typed whats 789 squared in the search engine you now have all the answers, too.

The same goes for searches like square789, and 789 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 789 squared using the search form in the sidebar of this page.

Ahead is the summary of our information.

Conclusion

To sum up,

789 squared = 789 × 789 = (789)² = 622,521.

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

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