What 2 square numbers subtract to make 1523?

What two square numbers subtract to make 1523? In other words, when you subtract one square number from another square number, the answer is 1523. 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 = 1523

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

762² - 761² = 1523

762² is 580644 and 761² is 579121, therefore the answer to the question "What 2 square numbers subtract to make 1523?" is 580644 and 579121 as illustrated below:

580644 - 579121 = 1523

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 1523. Below we list alternate solutions if available.

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