What 2 square numbers subtract to make 9633?

What two square numbers subtract to make 9633? In other words, when you subtract one square number from another square number, the answer is 9633. 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 = 9633

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

113² - 56² = 9633

113² is 12769 and 56² is 3136, therefore the answer to the question "What 2 square numbers subtract to make 9633?" is 12769 and 3136 as illustrated below:

12769 - 3136 = 9633

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 9633. Below we list alternate solutions if available.

20449 - 10816 = 9633
69169 - 59536 = 9633
142129 - 132496 = 9633

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What 2 square numbers subtract to make 9634?
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