Simplify Square Root of 84687

What is the square root of 84687 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.

√84687 = A√B

Unfortunately, the square root of 84687 cannot be simplified. Thus, here is the answer to the square root of 84687 in its simplest form:

√ 84687 = √ 84687

Here are two different methods we used to determine why the square root of 84687 cannot be simplified.

1) To be able to simplify the square root of 84687, one of the factors of 84687 other than 1 must be a perfect square. The factors of 84687 are 1, 3, 28229, and 84687. Since none of these factors are perfect squares, the square root of 84687 cannot be simplified.

2) To be able to simplify the square root of 84687, all the prime factors of 84687 cannot be unique. When we did prime factorization of 84687, we found that 3 x 28229 equals 84687. Since all the prime factors are unique, the square root of 84687 cannot be simplified.

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