What 2 square numbers subtract to make 1624?

What two square numbers subtract to make 1624? In other words, when you subtract one square number from another square number, the answer is 1624. 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 = 1624

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

43² - 15² = 1624

43² is 1849 and 15² is 225, therefore the answer to the question "What 2 square numbers subtract to make 1624?" is 1849 and 225 as illustrated below:

1849 - 225 = 1624

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 1624. Below we list alternate solutions if available.

4225 - 2601 = 1624
42025 - 40401 = 1624
165649 - 164025 = 1624

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