Simplify Square Root of 54086

What is the square root of 54086 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.

√54086 = A√B

Unfortunately, the square root of 54086 cannot be simplified. Thus, here is the answer to the square root of 54086 in its simplest form:

√ 54086 = √ 54086

Here are two different methods we used to determine why the square root of 54086 cannot be simplified.

1) To be able to simplify the square root of 54086, one of the factors of 54086 other than 1 must be a perfect square. The factors of 54086 are 1, 2, 27043, and 54086. Since none of these factors are perfect squares, the square root of 54086 cannot be simplified.

2) To be able to simplify the square root of 54086, all the prime factors of 54086 cannot be unique. When we did prime factorization of 54086, we found that 2 x 27043 equals 54086. Since all the prime factors are unique, the square root of 54086 cannot be simplified.

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