Simplify Square Root of 58063

What is the square root of 58063 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.

√58063 = A√B

Unfortunately, the square root of 58063 cannot be simplified. Thus, here is the answer to the square root of 58063 in its simplest form:

√ 58063 = √ 58063

Here are two different methods we used to determine why the square root of 58063 cannot be simplified.

1) To be able to simplify the square root of 58063, one of the factors of 58063 other than 1 must be a perfect square. The factors of 58063 are 1, 31, 1873, and 58063. Since none of these factors are perfect squares, the square root of 58063 cannot be simplified.

2) To be able to simplify the square root of 58063, all the prime factors of 58063 cannot be unique. When we did prime factorization of 58063, we found that 31 x 1873 equals 58063. Since all the prime factors are unique, the square root of 58063 cannot be simplified.

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