Simplify Square Root of 8713




What is the square root of 8713 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.

8713 = A√B

Unfortunately, the square root of 8713 cannot be simplified. Thus, here is the answer to the square root of 8713 in its simplest form:

8713 = √ 8713


Here are two different methods we used to determine why the square root of 8713 cannot be simplified.

1) To be able to simplify the square root of 8713, one of the factors of 8713 other than 1 must be a perfect square. The factors of 8713 are 1 and 8713. Since none of these factors are perfect squares, the square root of 8713 cannot be simplified.

2) To be able to simplify the square root of 8713, all the prime factors of 8713 cannot be unique. When we did prime factorization of 8713, we found that 8713 equals 8713. Since all the prime factors are unique, the square root of 8713 cannot be simplified.



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