Simplify Square Root of 98381




What is the square root of 98381 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.

98381 = A√B

Unfortunately, the square root of 98381 cannot be simplified. Thus, here is the answer to the square root of 98381 in its simplest form:

98381 = √ 98381


Here are two different methods we used to determine why the square root of 98381 cannot be simplified.

1) To be able to simplify the square root of 98381, one of the factors of 98381 other than 1 must be a perfect square. The factors of 98381 are 1, 131, 751, and 98381. Since none of these factors are perfect squares, the square root of 98381 cannot be simplified.

2) To be able to simplify the square root of 98381, all the prime factors of 98381 cannot be unique. When we did prime factorization of 98381, we found that 131 x 751 equals 98381. Since all the prime factors are unique, the square root of 98381 cannot be simplified.



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