Table of Contents
18 squared, (18)2, is the number you get when multiplying 18 times 18.
It can also be looked at as exponentiation involving the base 18 and the exponent 2.
The term is usually pronounced eighteen times eighteen or eighteen squared.
The square of 18 is a perfect square because the number is the product of the two equal integers 18.
It can be written as 18 × 18 or in exponential form.
Read on to learn everything about the number eighteen squared, including useful identities.
Calculator
(18)2 = 324
18 × 18 = 324
The inverse operation of squaring eighteen is extracting the square root of 18, explained here.
In the next section we elaborate on what is 18 squared and there you can also find our calculator.
What is 18 Squared?
A square is a flat shape with four equal sides; every angle is 90°.
Hence, a square with side length 18 has an area of 324.
18 squared equals the sum of the first 18 odd numbers:
In addition, the number can be calculated from 17 squared using the following identity:
n2 = (n − 1)2 + (n − 1) + n = (n − 1)2 + (2n − 1)
(18)2 = 172 + 17 + 18 = 172 + 35 = 324
It can be also be computed from 17 squared with this identity:
n2 = 2 x (n − 1)2 − (n − 2)2 + 2
(18)2 = 2 x 172 – 162 + 2 = 2 x 289 – 256 + 2 = 324
The difference between the perfect square of 18 and its predecessor, 17, can be calculated with the identity n2 − (n − 1)2 = 2n − 1:
2 x 18 – 1 = 35 = (18)2 – 172 = 324 – 289 = 35
18 is even, and the square numbers of even numbers are also even: (2n)2 = 4n2.
Squares of even numbers like 18 are divisible by 4 for
= n2.
If you want to calculate the square of any number, not only integers like 18, you can use our calculator above.
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A square similar to 18 is, for example: square of 20.
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The following table contains the squares of numbers close to 18.
Table
| Number | Square |
|---|---|
| 13 | 169 |
| 14 | 196 |
| 15 | 225 |
| 16 | 256 |
| 17 | 289 |
| 18 | 324 |
| 19 | 361 |
| 20 | 400 |
| 21 | 441 |
| 22 | 484 |
| 23 | 529 |
Eighteen Squared
By reading so far you know all about squaring the number 18 and calculating it using recursive methods, or as sum, product or by exponentiation.
18 squared is equivalent to 324.
If you were searching for what is 18 squared in math or if you typed whats 18 squared in the search engine you now have all the answers, too.
The same goes for searches like square18, and 18 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 18 squared using the search form in the sidebar of this page.
Ahead is the summary of our information.
Conclusion
To sum up,
18 squared = 18 × 18 = (18)2 = 324.
The exponentiation form is mostly used to denote eighteen squared.
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– Article written by Mark, last updated on November 26th, 2023