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64 Squared

64 squared, (64)2, is the number you get when multiplying 64 times 64.

It can also be looked at as exponentiation involving the base 64 and the exponent 2.

The term is usually pronounced sixty-four times sixty-four or sixty-four squared.

The square of 64 is a perfect square because the number is the product of the two equal integers 64.

It can be written as 64 × 64 or in exponential form.

Read on to learn everything about the number sixty-four squared, including useful identities.

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(64)2 = 4,096
64 × 64 = 4,096

The inverse operation of squaring sixty-four is extracting the square root of 64, explained here.

In the next section we elaborate on what is 64 squared and there you can also find our calculator.

What is 64 Squared?

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

Hence, a square with side length 64 has an area of 4,096.

64 squared equals the sum of the first 64 odd numbers:


In addition, the number can be calculated from 63 squared using the following identity:

n2 = (n − 1)2 + (n − 1) + n = (n − 1)2 + (2n − 1)
(64)2 = 632 + 63 + 64 = 632 + 127 = 4,096

It can be also be computed from 63 squared with this identity:

n2 = 2 x (n − 1)2 − (n − 2)2 + 2
(64)2 = 2 x 632 – 622 + 2 = 2 x 3969 – 3844 + 2 = 4,096

The difference between the perfect square of 64 and its predecessor, 63, can be calculated with the identity n2 − (n − 1)2 = 2n − 1:

2 x 64 – 1 = 127 = (64)2 – 632 = 4,096 – 3969 = 127

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

Squares of even numbers like 64 are divisible by 4 for


= n2.

If you want to calculate the square of any number, not only integers like 64, you can use our calculator above.

Enter your number; nothing else to be done.

A square similar to 64 is, for example: square of 66.


Ahead, we discuss the frequently asked questions.

FAQs About 64 Squared

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

What is the Square of 64?

The square of 64 is 4,096.

How do you Write 64 Squared?

64 squared can be written as (64)2 (a small 2 is placed to the top right of 64) or 64^2.

Is There a Square Root of 64?

Yes, the square roots of 64 are ±8.

What is the Perfect Square of 64?

The perfect square of 64 is 64 × 64 = 4,096.

How Do You Square 64?

You square 64 by multiplying 64 by itself.

Is 64 a Square Number?

Yes, 64 is the perfect square of 8.

What is the Square of Negative 64?

The square of negative 64 is 4,096.

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The following table contains the squares of numbers close to 64.

Table

NumberSquare
593,481
603,600
613,721
623,844
633,969
644,096
654,225
664,356
674,489
684,624
694,761

Sixty-Four Squared

By reading so far you know all about squaring the number 64 and calculating it using recursive methods, or as sum, product or by exponentiation.

64 squared is equivalent to 4,096.

If you were searching for what is 64 squared in math or if you typed whats 64 squared in the search engine you now have all the answers, too.

The same goes for searches like square64, and 64 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 64 squared using the search form in the sidebar of this page.

Ahead is the summary of our information.

Conclusion

To sum up,

64 squared = 64 × 64 = (64)2 = 4,096.

The exponentiation form is mostly used to denote sixty-four squared.

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