Simplify Square Root of 68681

What is the square root of 68681 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.

√68681 = A√B

Unfortunately, the square root of 68681 cannot be simplified. Thus, here is the answer to the square root of 68681 in its simplest form:

√ 68681 = √ 68681

Here are two different methods we used to determine why the square root of 68681 cannot be simplified.

1) To be able to simplify the square root of 68681, one of the factors of 68681 other than 1 must be a perfect square. The factors of 68681 are 1, 173, 397, and 68681. Since none of these factors are perfect squares, the square root of 68681 cannot be simplified.

2) To be able to simplify the square root of 68681, all the prime factors of 68681 cannot be unique. When we did prime factorization of 68681, we found that 173 x 397 equals 68681. Since all the prime factors are unique, the square root of 68681 cannot be simplified.

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