Simplify Square Root of 52813

What is the square root of 52813 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.

√52813 = A√B

Unfortunately, the square root of 52813 cannot be simplified. Thus, here is the answer to the square root of 52813 in its simplest form:

√ 52813 = √ 52813

Here are two different methods we used to determine why the square root of 52813 cannot be simplified.

1) To be able to simplify the square root of 52813, one of the factors of 52813 other than 1 must be a perfect square. The factors of 52813 are 1 and 52813. Since none of these factors are perfect squares, the square root of 52813 cannot be simplified.

2) To be able to simplify the square root of 52813, all the prime factors of 52813 cannot be unique. When we did prime factorization of 52813, we found that 52813 equals 52813. Since all the prime factors are unique, the square root of 52813 cannot be simplified.

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