What 2 square numbers subtract to make 8569?

What two square numbers subtract to make 8569? In other words, when you subtract one square number from another square number, the answer is 8569. 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 = 8569

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

125² - 84² = 8569

125² is 15625 and 84² is 7056, therefore the answer to the question "What 2 square numbers subtract to make 8569?" is 15625 and 7056 as illustrated below:

15625 - 7056 = 8569

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 8569. Below we list alternate solutions if available.

55225 - 46656 = 8569
156025 - 147456 = 8569

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