Simplify Square Root of 58759

What is the square root of 58759 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.

√58759 = A√B

Unfortunately, the square root of 58759 cannot be simplified. Thus, here is the answer to the square root of 58759 in its simplest form:

√ 58759 = √ 58759

Here are two different methods we used to determine why the square root of 58759 cannot be simplified.

1) To be able to simplify the square root of 58759, one of the factors of 58759 other than 1 must be a perfect square. The factors of 58759 are 1, 67, 877, and 58759. Since none of these factors are perfect squares, the square root of 58759 cannot be simplified.

2) To be able to simplify the square root of 58759, all the prime factors of 58759 cannot be unique. When we did prime factorization of 58759, we found that 67 x 877 equals 58759. Since all the prime factors are unique, the square root of 58759 cannot be simplified.

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