What 2 square numbers subtract to make 1749?

What two square numbers subtract to make 1749? In other words, when you subtract one square number from another square number, the answer is 1749. 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 = 1749

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

43² - 10² = 1749

43² is 1849 and 10² is 100, therefore the answer to the question "What 2 square numbers subtract to make 1749?" is 1849 and 100 as illustrated below:

1849 - 100 = 1749

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 1749. Below we list alternate solutions if available.

7225 - 5476 = 1749
85849 - 84100 = 1749
765625 - 763876 = 1749

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