Simplify Square Root of 99853




What is the square root of 99853 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.

99853 = A√B

Unfortunately, the square root of 99853 cannot be simplified. Thus, here is the answer to the square root of 99853 in its simplest form:

99853 = √ 99853


Here are two different methods we used to determine why the square root of 99853 cannot be simplified.

1) To be able to simplify the square root of 99853, one of the factors of 99853 other than 1 must be a perfect square. The factors of 99853 are 1, 13, 7681, and 99853. Since none of these factors are perfect squares, the square root of 99853 cannot be simplified.

2) To be able to simplify the square root of 99853, all the prime factors of 99853 cannot be unique. When we did prime factorization of 99853, we found that 13 x 7681 equals 99853. Since all the prime factors are unique, the square root of 99853 cannot be simplified.



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