Simplify Square Root of 55882

What is the square root of 55882 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.

√55882 = A√B

Unfortunately, the square root of 55882 cannot be simplified. Thus, here is the answer to the square root of 55882 in its simplest form:

√ 55882 = √ 55882

Here are two different methods we used to determine why the square root of 55882 cannot be simplified.

1) To be able to simplify the square root of 55882, one of the factors of 55882 other than 1 must be a perfect square. The factors of 55882 are 1, 2, 27941, and 55882. Since none of these factors are perfect squares, the square root of 55882 cannot be simplified.

2) To be able to simplify the square root of 55882, all the prime factors of 55882 cannot be unique. When we did prime factorization of 55882, we found that 2 x 27941 equals 55882. Since all the prime factors are unique, the square root of 55882 cannot be simplified.

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