Simplify Square Root of 58387

What is the square root of 58387 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.

√58387 = A√B

Unfortunately, the square root of 58387 cannot be simplified. Thus, here is the answer to the square root of 58387 in its simplest form:

√ 58387 = √ 58387

Here are two different methods we used to determine why the square root of 58387 cannot be simplified.

1) To be able to simplify the square root of 58387, one of the factors of 58387 other than 1 must be a perfect square. The factors of 58387 are 1, 7, 19, 133, 439, 3073, 8341, and 58387. Since none of these factors are perfect squares, the square root of 58387 cannot be simplified.

2) To be able to simplify the square root of 58387, all the prime factors of 58387 cannot be unique. When we did prime factorization of 58387, we found that 7 x 19 x 439 equals 58387. Since all the prime factors are unique, the square root of 58387 cannot be simplified.

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