Simplify Square Root of 68807

What is the square root of 68807 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.

√68807 = A√B

Unfortunately, the square root of 68807 cannot be simplified. Thus, here is the answer to the square root of 68807 in its simplest form:

√ 68807 = √ 68807

Here are two different methods we used to determine why the square root of 68807 cannot be simplified.

1) To be able to simplify the square root of 68807, one of the factors of 68807 other than 1 must be a perfect square. The factors of 68807 are 1, 83, 829, and 68807. Since none of these factors are perfect squares, the square root of 68807 cannot be simplified.

2) To be able to simplify the square root of 68807, all the prime factors of 68807 cannot be unique. When we did prime factorization of 68807, we found that 83 x 829 equals 68807. Since all the prime factors are unique, the square root of 68807 cannot be simplified.

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