Simplify Square Root of 60681

What is the square root of 60681 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.

√60681 = A√B

Unfortunately, the square root of 60681 cannot be simplified. Thus, here is the answer to the square root of 60681 in its simplest form:

√ 60681 = √ 60681

Here are two different methods we used to determine why the square root of 60681 cannot be simplified.

1) To be able to simplify the square root of 60681, one of the factors of 60681 other than 1 must be a perfect square. The factors of 60681 are 1, 3, 113, 179, 339, 537, 20227, and 60681. Since none of these factors are perfect squares, the square root of 60681 cannot be simplified.

2) To be able to simplify the square root of 60681, all the prime factors of 60681 cannot be unique. When we did prime factorization of 60681, we found that 3 x 113 x 179 equals 60681. Since all the prime factors are unique, the square root of 60681 cannot be simplified.

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