What 2 square numbers subtract to make 9737?

What two square numbers subtract to make 9737? In other words, when you subtract one square number from another square number, the answer is 9737. 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 = 9737

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

99² - 8² = 9737

99² is 9801 and 8² is 64, therefore the answer to the question "What 2 square numbers subtract to make 9737?" is 9801 and 64 as illustrated below:

9801 - 64 = 9737

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 9737. Below we list alternate solutions if available.

145161 - 135424 = 9737
488601 - 478864 = 9737

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