Simplify Square Root of 57083

What is the square root of 57083 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.

√57083 = A√B

Unfortunately, the square root of 57083 cannot be simplified. Thus, here is the answer to the square root of 57083 in its simplest form:

√ 57083 = √ 57083

Here are two different methods we used to determine why the square root of 57083 cannot be simplified.

1) To be able to simplify the square root of 57083, one of the factors of 57083 other than 1 must be a perfect square. The factors of 57083 are 1, 13, 4391, and 57083. Since none of these factors are perfect squares, the square root of 57083 cannot be simplified.

2) To be able to simplify the square root of 57083, all the prime factors of 57083 cannot be unique. When we did prime factorization of 57083, we found that 13 x 4391 equals 57083. Since all the prime factors are unique, the square root of 57083 cannot be simplified.

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