What 2 square numbers subtract to make 6125?

What two square numbers subtract to make 6125? In other words, when you subtract one square number from another square number, the answer is 6125. 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 = 6125

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

87² - 38² = 6125

87² is 7569 and 38² is 1444, therefore the answer to the question "What 2 square numbers subtract to make 6125?" is 7569 and 1444 as illustrated below:

7569 - 1444 = 6125

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 6125. Below we list alternate solutions if available.

11025 - 4900 = 6125
18225 - 12100 = 6125
194481 - 188356 = 6125

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