Simplify Square Root of 63717

What is the square root of 63717 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.

√63717 = A√B

Unfortunately, the square root of 63717 cannot be simplified. Thus, here is the answer to the square root of 63717 in its simplest form:

√ 63717 = √ 63717

Here are two different methods we used to determine why the square root of 63717 cannot be simplified.

1) To be able to simplify the square root of 63717, one of the factors of 63717 other than 1 must be a perfect square. The factors of 63717 are 1, 3, 67, 201, 317, 951, 21239, and 63717. Since none of these factors are perfect squares, the square root of 63717 cannot be simplified.

2) To be able to simplify the square root of 63717, all the prime factors of 63717 cannot be unique. When we did prime factorization of 63717, we found that 3 x 67 x 317 equals 63717. Since all the prime factors are unique, the square root of 63717 cannot be simplified.

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