40 squared, (40)2, is the number you get when multiplying 40 times 40.

It can also be looked at as exponentiation involving the base 40 and the exponent 2.

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The term is usually pronounced forty times forty or forty squared.

The square of 40 is a perfect square because the number is the product of the two equal integers 40.

It can be written as 40 × 40 or in exponential form.

Read on to learn everything about the number forty squared, including useful identities.

Calculator

On this Site You Can Learn all About Squared Numbers! Click To Tweet(40)2 = 1,60040 × 40 = 1,600The inverse operation of squaring forty is extracting the square root of 40, explained here.

In the next section we elaborate on what is 40 squared and there you can also find our calculator.

What is 40 Squared?

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

Hence, a square with side length 40 has an area of 1,600.

40 squared equals the sum of the first 40 odd numbers:

In addition, the number can be calculated from 39 squared using the following identity:

n2 = (n − 1)2 + (n − 1) + n = (n − 1)2 + (2n − 1)(40)2 = 392 + 39 + 40 = 392 + 79 = 1,600

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It can be also be computed from 39 squared with this identity:

n2 = 2 x (n − 1)2 − (n − 2)2 + 2(40)2 = 2 x 392 – 382 + 2 = 2 x 1521 – 1444 + 2 = 1,600

The difference between the perfect square of 40 and its predecessor, 39, can be calculated with the identity n2 − (n − 1)2 = 2n − 1:

2 x 40 – 1 = 79 = (40)2 – 392 = 1,600 – 1521 = 79

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

Squares of even numbers like 40 are divisible by 4 for

= n2.

If you want to calculate the square of any number, not only integers like 40, you can use our calculator above.

Enter your number; nothing else to be done.

A square similar to 40 is, for example: square of 42.If something remains unclear do not hesitate getting in touch with us.

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The following table contains the squares of numbers close to 40.

Table

Forty Squared

By reading so far you know all about squaring the number 40 and calculating it using recursive methods, or as sum, product or by exponentiation.

40 squared is equivalent to 1,600.

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If you were searching for what is 40 squared in math or if you typed whats 40 squared in the search engine you now have all the answers, too.

The same goes for searches like square40, and 40 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 40 squared using the search form in the sidebar of this page.

Ahead is the summary of our information.

Conclusion

To sum up,

40 squared = 40 × 40 = (40)2 = 1,600.

The exponentiation form is mostly used to denote forty squared.

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– Article written by Mark

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