Simplify Square Root of 55687

What is the square root of 55687 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.

√55687 = A√B

Unfortunately, the square root of 55687 cannot be simplified. Thus, here is the answer to the square root of 55687 in its simplest form:

√ 55687 = √ 55687

Here are two different methods we used to determine why the square root of 55687 cannot be simplified.

1) To be able to simplify the square root of 55687, one of the factors of 55687 other than 1 must be a perfect square. The factors of 55687 are 1, 233, 239, and 55687. Since none of these factors are perfect squares, the square root of 55687 cannot be simplified.

2) To be able to simplify the square root of 55687, all the prime factors of 55687 cannot be unique. When we did prime factorization of 55687, we found that 233 x 239 equals 55687. Since all the prime factors are unique, the square root of 55687 cannot be simplified.

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