Simplify Square Root of 8843

What is the square root of 8843 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.

√8843 = A√B

Unfortunately, the square root of 8843 cannot be simplified. Thus, here is the answer to the square root of 8843 in its simplest form:

√ 8843 = √ 8843

Here are two different methods we used to determine why the square root of 8843 cannot be simplified.

1) To be able to simplify the square root of 8843, one of the factors of 8843 other than 1 must be a perfect square. The factors of 8843 are 1, 37, 239, and 8843. Since none of these factors are perfect squares, the square root of 8843 cannot be simplified.

2) To be able to simplify the square root of 8843, all the prime factors of 8843 cannot be unique. When we did prime factorization of 8843, we found that 37 x 239 equals 8843. Since all the prime factors are unique, the square root of 8843 cannot be simplified.

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