Simplify Square Root of 52057

What is the square root of 52057 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.

√52057 = A√B

Unfortunately, the square root of 52057 cannot be simplified. Thus, here is the answer to the square root of 52057 in its simplest form:

√ 52057 = √ 52057

Here are two different methods we used to determine why the square root of 52057 cannot be simplified.

1) To be able to simplify the square root of 52057, one of the factors of 52057 other than 1 must be a perfect square. The factors of 52057 are 1 and 52057. Since none of these factors are perfect squares, the square root of 52057 cannot be simplified.

2) To be able to simplify the square root of 52057, all the prime factors of 52057 cannot be unique. When we did prime factorization of 52057, we found that 52057 equals 52057. Since all the prime factors are unique, the square root of 52057 cannot be simplified.

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