Simplify Square Root of 58697

What is the square root of 58697 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.

√58697 = A√B

Unfortunately, the square root of 58697 cannot be simplified. Thus, here is the answer to the square root of 58697 in its simplest form:

√ 58697 = √ 58697

Here are two different methods we used to determine why the square root of 58697 cannot be simplified.

1) To be able to simplify the square root of 58697, one of the factors of 58697 other than 1 must be a perfect square. The factors of 58697 are 1, 79, 743, and 58697. Since none of these factors are perfect squares, the square root of 58697 cannot be simplified.

2) To be able to simplify the square root of 58697, all the prime factors of 58697 cannot be unique. When we did prime factorization of 58697, we found that 79 x 743 equals 58697. Since all the prime factors are unique, the square root of 58697 cannot be simplified.

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