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72 Squared

72 squared, (72)2, is the number you get when multiplying 72 times 72.

It can also be looked at as exponentiation involving the base 72 and the exponent 2.

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

The square of 72 is a perfect square because the number is the product of the two equal integers 72.

It can be written as 72 × 72 or in exponential form.

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

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(72)2 = 5,184
72 × 72 = 5,184

The inverse operation of squaring seventy-two is extracting the square root of 72, explained here.

In the next section we elaborate on what is 72 squared and there you can also find our calculator.

What is 72 Squared?

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

Hence, a square with side length 72 has an area of 5,184.

72 squared equals the sum of the first 72 odd numbers:


In addition, the number can be calculated from 71 squared using the following identity:

n2 = (n − 1)2 + (n − 1) + n = (n − 1)2 + (2n − 1)
(72)2 = 712 + 71 + 72 = 712 + 143 = 5,184

It can be also be computed from 71 squared with this identity:

n2 = 2 x (n − 1)2 − (n − 2)2 + 2
(72)2 = 2 x 712 – 702 + 2 = 2 x 5041 – 4900 + 2 = 5,184

The difference between the perfect square of 72 and its predecessor, 71, can be calculated with the identity n2 − (n − 1)2 = 2n − 1:

2 x 72 – 1 = 143 = (72)2 – 712 = 5,184 – 5041 = 143

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

Squares of even numbers like 72 are divisible by 4 for


= n2.

If you want to calculate the square of any number, not only integers like 72, you can use our calculator above.

Enter your number; nothing else to be done.

A square similar to 72 is, for example: square of 74.


Ahead, we discuss the frequently asked questions.

FAQs About 72 Squared

Click on the question which is of interest to you to see the collapsible content answer.

What is the Square of 72?

The square of 72 is 5,184.

How do you Write 72 Squared?

72 squared can be written as (72)2 (a small 2 is placed to the top right of 72) or 72^2.

Is There a Square Root of 72?

Yes, the square roots of 72 are ±8.4852813742.

What is the Perfect Square of 72?

The perfect square of 72 is 72 × 72 = 5,184.

How Do You Square 72?

You square 72 by multiplying 72 by itself.

Is 72 a Square Number?

No, 72 is the square of the irrational number 8.4852813742.

What is the Square of Negative 72?

The square of negative 72 is 5,184.

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The following table contains the squares of numbers close to 72.

Table

NumberSquare
674,489
684,624
694,761
704,900
715,041
725,184
735,329
745,476
755,625
765,776
775,929

Seventy-Two Squared

By reading so far you know all about squaring the number 72 and calculating it using recursive methods, or as sum, product or by exponentiation.

72 squared is equivalent to 5,184.

If you were searching for what is 72 squared in math or if you typed whats 72 squared in the search engine you now have all the answers, too.

The same goes for searches like square72, and 72 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 72 squared using the search form in the sidebar of this page.

Ahead is the summary of our information.

Conclusion

To sum up,

72 squared = 72 × 72 = (72)2 = 5,184.

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

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