What 2 square numbers subtract to make 1565?

What two square numbers subtract to make 1565? In other words, when you subtract one square number from another square number, the answer is 1565. 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 = 1565

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

159² - 154² = 1565

159² is 25281 and 154² is 23716, therefore the answer to the question "What 2 square numbers subtract to make 1565?" is 25281 and 23716 as illustrated below:

25281 - 23716 = 1565

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 1565. Below we list alternate solutions if available.

613089 - 611524 = 1565

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