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74 squared, (74)2, is the number you get when multiplying 74 times 74.
It can also be looked at as exponentiation involving the base 74 and the exponent 2.
The term is usually pronounced seventy-four times seventy-four or seventy-four squared.
The square of 74 is a perfect square because the number is the product of the two equal integers 74.
It can be written as 74 × 74 or in exponential form.
Read on to learn everything about the number seventy-four squared, including useful identities.
Calculator
(74)2 = 5,476
74 × 74 = 5,476
The inverse operation of squaring seventy-four is extracting the square root of 74, explained here.
In the next section we elaborate on what is 74 squared and there you can also find our calculator.
What is 74 Squared?
A square is a flat shape with four equal sides; every angle is 90°.
Hence, a square with side length 74 has an area of 5,476.
74 squared equals the sum of the first 74 odd numbers:
In addition, the number can be calculated from 73 squared using the following identity:
n2 = (n − 1)2 + (n − 1) + n = (n − 1)2 + (2n − 1)
(74)2 = 732 + 73 + 74 = 732 + 147 = 5,476
It can be also be computed from 73 squared with this identity:
n2 = 2 x (n − 1)2 − (n − 2)2 + 2
(74)2 = 2 x 732 – 722 + 2 = 2 x 5329 – 5184 + 2 = 5,476
The difference between the perfect square of 74 and its predecessor, 73, can be calculated with the identity n2 − (n − 1)2 = 2n − 1:
2 x 74 – 1 = 147 = (74)2 – 732 = 5,476 – 5329 = 147
74 is even, and the square numbers of even numbers are also even: (2n)2 = 4n2.
Squares of even numbers like 74 are divisible by 4 for
= n2.
If you want to calculate the square of any number, not only integers like 74, you can use our calculator above.
Enter your number; nothing else to be done.
A square similar to 74 is, for example: square of 76.
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The following table contains the squares of numbers close to 74.
Table
| Number | Square |
|---|---|
| 69 | 4,761 |
| 70 | 4,900 |
| 71 | 5,041 |
| 72 | 5,184 |
| 73 | 5,329 |
| 74 | 5,476 |
| 75 | 5,625 |
| 76 | 5,776 |
| 77 | 5,929 |
| 78 | 6,084 |
| 79 | 6,241 |
Seventy-Four Squared
By reading so far you know all about squaring the number 74 and calculating it using recursive methods, or as sum, product or by exponentiation.
74 squared is equivalent to 5,476.
If you were searching for what is 74 squared in math or if you typed whats 74 squared in the search engine you now have all the answers, too.
The same goes for searches like square74, and 74 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 74 squared using the search form in the sidebar of this page.
Ahead is the summary of our information.
Conclusion
To sum up,
74 squared = 74 × 74 = (74)2 = 5,476.
The exponentiation form is mostly used to denote seventy-four squared.
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– Article written by Mark, last updated on November 26th, 2023