What 2 square numbers subtract to make 1575?

What two square numbers subtract to make 1575? In other words, when you subtract one square number from another square number, the answer is 1575. 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 = 1575

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

40² - 5² = 1575

40² is 1600 and 5² is 25, therefore the answer to the question "What 2 square numbers subtract to make 1575?" is 1600 and 25 as illustrated below:

1600 - 25 = 1575

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 1575. Below we list alternate solutions if available.

1936 - 361 = 1575
2304 - 729 = 1575
3600 - 2025 = 1575

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