Simplify Square Root of 81707

What is the square root of 81707 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.

√81707 = A√B

Unfortunately, the square root of 81707 cannot be simplified. Thus, here is the answer to the square root of 81707 in its simplest form:

√ 81707 = √ 81707

Here are two different methods we used to determine why the square root of 81707 cannot be simplified.

1) To be able to simplify the square root of 81707, one of the factors of 81707 other than 1 must be a perfect square. The factors of 81707 are 1 and 81707. Since none of these factors are perfect squares, the square root of 81707 cannot be simplified.

2) To be able to simplify the square root of 81707, all the prime factors of 81707 cannot be unique. When we did prime factorization of 81707, we found that 81707 equals 81707. Since all the prime factors are unique, the square root of 81707 cannot be simplified.

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