Simplify Square Root of 12239




What is the square root of 12239 in its simplest radical form? To be more specific, we have created an illustration below showing what we want to calculate. Our goal is to make "A" outside the radical (√) as large as possible, and "B" inside the radical (√) as small as possible.

12239 = A√B

Unfortunately, the square root of 12239 cannot be simplified. Thus, here is the answer to the square root of 12239 in its simplest form:

12239 = √ 12239


Here are two different methods we used to determine why the square root of 12239 cannot be simplified.

1) To be able to simplify the square root of 12239, one of the factors of 12239 other than 1 must be a perfect square. The factors of 12239 are 1 and 12239. Since none of these factors are perfect squares, the square root of 12239 cannot be simplified.

2) To be able to simplify the square root of 12239, all the prime factors of 12239 cannot be unique. When we did prime factorization of 12239, we found that 12239 equals 12239. Since all the prime factors are unique, the square root of 12239 cannot be simplified.



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