4 Squared

4 squared, (4)², is the number you get when multiplying 4 times 4.

It can also be looked at as exponentiation involving the base 4 and the exponent 2.

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

The square of 4 is a perfect square because the number is the product of the two equal integers 4.

It can be written as 4 × 4 or in exponential form.

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

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(4)² = 16
4 × 4 = 16
The inverse operation of squaring four is extracting the square root of 4, explained here.

In the next section we elaborate on what is 4 squared and there you can also find our calculator.

What is 4 Squared?

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

Hence, a square with side length 4 has an area of 16.

4 squared equals the sum of the first 4 odd numbers:

In addition, the number can be calculated from 3 squared using the following identity:

n² = (n − 1)² + (n − 1) + n = (n − 1)² + (2n − 1)
(4)² = 3² + 3 + 4 = 3² + 7 = 16

It can be also be computed from 3 squared with this identity:

n² = 2 x (n − 1)² − (n − 2)² + 2
(4)² = 2 x 3² – 2² + 2 = 2 x 9 – 4 + 2 = 16

The difference between the perfect square of 4 and its predecessor, 3, can be calculated with the identity n² − (n − 1)² = 2n − 1:

2 x 4 – 1 = 7 = (4)² – 3² = 16 – 9 = 7

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

Squares of even numbers like 4 are divisible by 4 for

= n².

If you want to calculate the square of any number, not only integers like 4, you can use our calculator above.

Enter your number; nothing else to be done.

A square similar to 4 is, for example: square of 6.


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The following table contains the squares of numbers close to 4.

Table

Four Squared

By reading so far you know all about squaring the number 4 and calculating it using recursive methods, or as sum, product or by exponentiation.

4 squared is equivalent to 16.

If you were searching for what is 4 squared in math or if you typed whats 4 squared in the search engine you now have all the answers, too.

The same goes for searches like square4, and 4 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 4 squared using the search form in the sidebar of this page.

Ahead is the summary of our information.

Conclusion

To sum up,

4 squared = 4 × 4 = (4)² = 16.

The exponentiation form is mostly used to denote four squared.

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