What 2 square numbers subtract to make 5663?

What two square numbers subtract to make 5663? In other words, when you subtract one square number from another square number, the answer is 5663. 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 = 5663

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

408² - 401² = 5663

408² is 166464 and 401² is 160801, therefore the answer to the question "What 2 square numbers subtract to make 5663?" is 166464 and 160801 as illustrated below:

166464 - 160801 = 5663

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 5663. Below we list alternate solutions if available.

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