What 2 square numbers subtract to make 5705?

What two square numbers subtract to make 5705? In other words, when you subtract one square number from another square number, the answer is 5705. 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 = 5705

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

99² - 64² = 5705

99² is 9801 and 64² is 4096, therefore the answer to the question "What 2 square numbers subtract to make 5705?" is 9801 and 4096 as illustrated below:

9801 - 4096 = 5705

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 5705. Below we list alternate solutions if available.

168921 - 163216 = 5705
328329 - 322624 = 5705

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