Simplify Square Root of 83887




What is the square root of 83887 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.

83887 = A√B

Unfortunately, the square root of 83887 cannot be simplified. Thus, here is the answer to the square root of 83887 in its simplest form:

83887 = √ 83887


Here are two different methods we used to determine why the square root of 83887 cannot be simplified.

1) To be able to simplify the square root of 83887, one of the factors of 83887 other than 1 must be a perfect square. The factors of 83887 are 1, 149, 563, and 83887. Since none of these factors are perfect squares, the square root of 83887 cannot be simplified.

2) To be able to simplify the square root of 83887, all the prime factors of 83887 cannot be unique. When we did prime factorization of 83887, we found that 149 x 563 equals 83887. Since all the prime factors are unique, the square root of 83887 cannot be simplified.



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