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{{ printedBook.courseTrack.name }} {{ printedBook.name }} A **perfect square** is a number that can be written as the product of two identical integers. In other words, a number is a perfect square if its square root is an integer.

Example | Rewrite as a Product | Perfect Square? | Explanation |
---|---|---|---|

$25$ | $5×5=5_{2}$ | Yes | $5$ is an integer |

$30.25$ | $5.5×5.5=5.5_{2}$ | No | $5.5$ is not an integer |

Similarly, if a variable has an even exponent, it is said that it is a perfect square. This is because this condition guarantees that the variable can be rewritten as the product of two identical powers with integer exponents. $y_{2}x_{4} ⇔y×y⇔x_{2}×x_{2} $