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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