In this article, we’ll specify perfect squares, administer a list of the an initial 25 perfect squares (and the integers the make them up), and also teach you how to phone call if a number is a perfect square.
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What Is a Perfect Square?
A perfect square is a number that can be expressed together the product of 2 equal integers.
What does the mean?
Basically, a perfect square is what you acquire when you multiply 2 equal integers by each other.
For instance:
$$5 * 5 = 25$$
25 is a perfect square due to the fact that you’re multiplying 2 equal integers (5 and 5) by each other.
You can additionally express $5 * 5$ as $5^2$. That’s where you obtain the ax “perfect square”
List the Perfect Squares
Here’s a list of the an initial 25 perfect squares. A hint: if you want to develop a perfect square, simply square an integer!
| Square | Integers |
| 1 | $1 * 1$ |
| 4 | $2 * 2$ |
| 9 | $3 * 3$ |
| 16 | $4 * 4$ |
| 25 | $5 * 5$ |
| 36 | $6 * 6$ |
| 49 | $7 * 7$ |
| 64 | $8 * 8$ |
| 81 | $9 * 9$ |
| 100 | $10 * 10$ |
| 121 | $11 * 11$ |
| 144 | $12 * 12$ |
| 169 | $13 * 13$ |
| 196 | $14 * 14$ |
| 225 | $15 * 15$ |
| 256 | $16 * 16$ |
| 289 | $17 * 17$ |
| 324 | $18 * 18$ |
| 361 | $19 * 19$ |
| 400 | $20 * 20$ |
| 441 | $21 * 21$ |
| 484 | $22 * 22$ |
| 529 | $23 * 23$ |
| 576 | $24 * 24$ |
| 625 | $25 * 25$ |
How come Tell If a Number Is a Perfect Square
You deserve to tell if a number is a perfect square in a pair of different ways.
First that all, if you develop a square by multiplying 2 equal integers by each other, climate the product is a perfect square.
So, $1 * 1$ is a perfect square. So is $10 * 10$ and also $1,000 * 1,000$.
You can likewise tell if a number is a perfect square by detect its square roots. recognize the square root is the station (opposite) the squaring a number.
If you uncover the square source of a number and it’s a totality integer, the tells you that the number is a perfect square.
For instance, the square root of 25 is 5. The square root of 26 is not a whole integer. So, 26 is not a perfect square.
Key Takeaways: knowledge Perfect Squares
A perfect square is a number that have the right to be expressed as the product of two equal integers.
You can tell if a number by detect its square root and seeing if the square root is a entirety integer.
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