What 2 square numbers subtract to make 7645?

What two square numbers subtract to make 7645? In other words, when you subtract one square number from another square number, the answer is 7645. What are the two square numbers?

First, note that a square number is what you get when you multiply a number by itself, which means that the square root of a square number will equal a whole number. Thus, this is what we are solving:

A² - B² = 7645

We solved the equation above and found this to be true:

97² - 42² = 7645

97² is 9409 and 42² is 1764, therefore the answer to the question "What 2 square numbers subtract to make 7645?" is 9409 and 1764 as illustrated below:

9409 - 1764 = 7645

Note that there may be more than one solution to a problem like this. Above, we found the lowest combination of square numbers that subtract to 7645. Below we list alternate solutions if available.

124609 - 116964 = 7645
588289 - 580644 = 7645

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