Simplify Square Root of 56807

What is the square root of 56807 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.

√56807 = A√B

Unfortunately, the square root of 56807 cannot be simplified. Thus, here is the answer to the square root of 56807 in its simplest form:

√ 56807 = √ 56807

Here are two different methods we used to determine why the square root of 56807 cannot be simplified.

1) To be able to simplify the square root of 56807, one of the factors of 56807 other than 1 must be a perfect square. The factors of 56807 are 1 and 56807. Since none of these factors are perfect squares, the square root of 56807 cannot be simplified.

2) To be able to simplify the square root of 56807, all the prime factors of 56807 cannot be unique. When we did prime factorization of 56807, we found that 56807 equals 56807. Since all the prime factors are unique, the square root of 56807 cannot be simplified.

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