What 2 square numbers subtract to make 5675?

What two square numbers subtract to make 5675? In other words, when you subtract one square number from another square number, the answer is 5675. 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 = 5675

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

126² - 101² = 5675

126² is 15876 and 101² is 10201, therefore the answer to the question "What 2 square numbers subtract to make 5675?" is 15876 and 10201 as illustrated below:

15876 - 10201 = 5675

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 5675. Below we list alternate solutions if available.

324900 - 319225 = 5675

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