Simplify Square Root of 86857

What is the square root of 86857 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.

√86857 = A√B

Unfortunately, the square root of 86857 cannot be simplified. Thus, here is the answer to the square root of 86857 in its simplest form:

√ 86857 = √ 86857

Here are two different methods we used to determine why the square root of 86857 cannot be simplified.

1) To be able to simplify the square root of 86857, one of the factors of 86857 other than 1 must be a perfect square. The factors of 86857 are 1 and 86857. Since none of these factors are perfect squares, the square root of 86857 cannot be simplified.

2) To be able to simplify the square root of 86857, all the prime factors of 86857 cannot be unique. When we did prime factorization of 86857, we found that 86857 equals 86857. Since all the prime factors are unique, the square root of 86857 cannot be simplified.

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