What 2 square numbers subtract to make 9835?

What two square numbers subtract to make 9835? In other words, when you subtract one square number from another square number, the answer is 9835. 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 = 9835

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

158² - 123² = 9835

158² is 24964 and 123² is 15129, therefore the answer to the question "What 2 square numbers subtract to make 9835?" is 24964 and 15129 as illustrated below:

24964 - 15129 = 9835

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 9835. Below we list alternate solutions if available.

498436 - 488601 = 9835
972196 - 962361 = 9835

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