Simplify Square Root of 93206




What is the square root of 93206 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.

93206 = A√B

Unfortunately, the square root of 93206 cannot be simplified. Thus, here is the answer to the square root of 93206 in its simplest form:

93206 = √ 93206


Here are two different methods we used to determine why the square root of 93206 cannot be simplified.

1) To be able to simplify the square root of 93206, one of the factors of 93206 other than 1 must be a perfect square. The factors of 93206 are 1, 2, 29, 58, 1607, 3214, 46603, and 93206. Since none of these factors are perfect squares, the square root of 93206 cannot be simplified.

2) To be able to simplify the square root of 93206, all the prime factors of 93206 cannot be unique. When we did prime factorization of 93206, we found that 2 x 29 x 1607 equals 93206. Since all the prime factors are unique, the square root of 93206 cannot be simplified.



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