Simplify Square Root of 54281

What is the square root of 54281 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.

√54281 = A√B

Unfortunately, the square root of 54281 cannot be simplified. Thus, here is the answer to the square root of 54281 in its simplest form:

√ 54281 = √ 54281

Here are two different methods we used to determine why the square root of 54281 cannot be simplified.

1) To be able to simplify the square root of 54281, one of the factors of 54281 other than 1 must be a perfect square. The factors of 54281 are 1, 17, 31, 103, 527, 1751, 3193, and 54281. Since none of these factors are perfect squares, the square root of 54281 cannot be simplified.

2) To be able to simplify the square root of 54281, all the prime factors of 54281 cannot be unique. When we did prime factorization of 54281, we found that 17 x 31 x 103 equals 54281. Since all the prime factors are unique, the square root of 54281 cannot be simplified.

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