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3 Squared


3 squared, (3)2, is the number you get when multiplying 3 times 3.

It can also be looked at as exponentiation involving the base 3 and the exponent 2.

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

The square of 3 is a perfect square because the number is the product of the two equal integers 3.

It can be written as 3 × 3 or in exponential form.

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

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(3)2 = 9
3 × 3 = 9

The inverse operation of squaring three is extracting the square root of 3, explained here.

In the next section we elaborate on what is 3 squared and there you can also find our calculator.

What is 3 Squared?

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

Hence, a square with side length 3 has an area of 9.

3 squared equals the sum of the first 3 odd numbers:


In addition, the number can be calculated from 2 squared using the following identity:

n2 = (n − 1)2 + (n − 1) + n = (n − 1)2 + (2n − 1)
(3)2 = 22 + 2 + 3 = 22 + 5 = 9

It can be also be computed from 2 squared with this identity:

n2 = 2 x (n − 1)2 − (n − 2)2 + 2
(3)2 = 2 x 22 – 12 + 2 = 2 x 4 – 1 + 2 = 9

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

2 x 3 – 1 = 5 = (3)2 – 22 = 9 – 4 = 5

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

Squares of odd numbers like 3 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 3, you can use our calculator above.

Enter your number; nothing else to be done.

A square similar to 3 is, for example: square of 5.


Ahead, we discuss the frequently asked questions.

FAQs About 3 Squared

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

What is the Square of 3?

The square of 3 is 9.

How do you Write 3 Squared?

3 squared can be written as (3)2 (a small 2 is placed to the top right of 3) or 3^2.

Is There a Square Root of 3?

Yes, the square roots of 3 are ±1.7320508076.

What is the Perfect Square of 3?

The perfect square of 3 is 3 × 3 = 9.

How Do You Square 3?

You square 3 by multiplying 3 by itself.

Is 3 a Square Number?

No, 3 is the square of the irrational number 1.7320508076.

What is the Square of Negative 3?

The square of negative 3 is 9.

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The following table contains the squares of numbers close to 3.

Table

NumberSquare
-24
-11
00
11
24
39
416
525
636
749
864

Three Squared

By reading so far you know all about squaring the number 3 and calculating it using recursive methods, or as sum, product or by exponentiation.

3 squared is equivalent to 9.

If you were searching for what is 3 squared in math or if you typed whats 3 squared in the search engine you now have all the answers, too.

The same goes for searches like square3, and 3 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 3 squared using the search form in the sidebar of this page.

Ahead is the summary of our information.

Conclusion

To sum up,

3 squared = 3 × 3 = (3)2 = 9.

The exponentiation form is mostly used to denote three squared.

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