What 2 square numbers subtract to make 7464?

What two square numbers subtract to make 7464? In other words, when you subtract one square number from another square number, the answer is 7464. 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 = 7464

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

317² - 305² = 7464

317² is 100489 and 305² is 93025, therefore the answer to the question "What 2 square numbers subtract to make 7464?" is 100489 and 93025 as illustrated below:

100489 - 93025 = 7464

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 7464. Below we list alternate solutions if available.

390625 - 383161 = 7464
874225 - 866761 = 7464

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