Simplify Square Root of 86986

What is the square root of 86986 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.

√86986 = A√B

Unfortunately, the square root of 86986 cannot be simplified. Thus, here is the answer to the square root of 86986 in its simplest form:

√ 86986 = √ 86986

Here are two different methods we used to determine why the square root of 86986 cannot be simplified.

1) To be able to simplify the square root of 86986, one of the factors of 86986 other than 1 must be a perfect square. The factors of 86986 are 1, 2, 23, 31, 46, 61, 62, 122, 713, 1403, 1426, 1891, 2806, 3782, 43493, and 86986. Since none of these factors are perfect squares, the square root of 86986 cannot be simplified.

2) To be able to simplify the square root of 86986, all the prime factors of 86986 cannot be unique. When we did prime factorization of 86986, we found that 2 x 23 x 31 x 61 equals 86986. Since all the prime factors are unique, the square root of 86986 cannot be simplified.

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