Simplify Square Root of 55367

What is the square root of 55367 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.

√55367 = A√B

Unfortunately, the square root of 55367 cannot be simplified. Thus, here is the answer to the square root of 55367 in its simplest form:

√ 55367 = √ 55367

Here are two different methods we used to determine why the square root of 55367 cannot be simplified.

1) To be able to simplify the square root of 55367, one of the factors of 55367 other than 1 must be a perfect square. The factors of 55367 are 1, 13, 4259, and 55367. Since none of these factors are perfect squares, the square root of 55367 cannot be simplified.

2) To be able to simplify the square root of 55367, all the prime factors of 55367 cannot be unique. When we did prime factorization of 55367, we found that 13 x 4259 equals 55367. Since all the prime factors are unique, the square root of 55367 cannot be simplified.

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