What 2 square numbers subtract to make 4221?

What two square numbers subtract to make 4221? In other words, when you subtract one square number from another square number, the answer is 4221. 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 = 4221

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

65² - 2² = 4221

65² is 4225 and 2² is 4, therefore the answer to the question "What 2 square numbers subtract to make 4221?" is 4225 and 4 as illustrated below:

4225 - 4 = 4221

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 4221. Below we list alternate solutions if available.

12321 - 8100 = 4221
57121 - 52900 = 4221
93025 - 88804 = 4221

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