Simplify Square Root of 54031

What is the square root of 54031 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.

√54031 = A√B

Unfortunately, the square root of 54031 cannot be simplified. Thus, here is the answer to the square root of 54031 in its simplest form:

√ 54031 = √ 54031

Here are two different methods we used to determine why the square root of 54031 cannot be simplified.

1) To be able to simplify the square root of 54031, one of the factors of 54031 other than 1 must be a perfect square. The factors of 54031 are 1, 71, 761, and 54031. Since none of these factors are perfect squares, the square root of 54031 cannot be simplified.

2) To be able to simplify the square root of 54031, all the prime factors of 54031 cannot be unique. When we did prime factorization of 54031, we found that 71 x 761 equals 54031. Since all the prime factors are unique, the square root of 54031 cannot be simplified.

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