What 2 square numbers subtract to make 9445?

What two square numbers subtract to make 9445? In other words, when you subtract one square number from another square number, the answer is 9445. 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 = 9445

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

947² - 942² = 9445

947² is 896809 and 942² is 887364, therefore the answer to the question "What 2 square numbers subtract to make 9445?" is 896809 and 887364 as illustrated below:

896809 - 887364 = 9445

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 9445. Below we list alternate solutions if available.

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What 2 square numbers subtract to make 9446?
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