Simplify Square Root of 16058

What is the square root of 16058 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.

√16058 = A√B

Unfortunately, the square root of 16058 cannot be simplified. Thus, here is the answer to the square root of 16058 in its simplest form:

√ 16058 = √ 16058

Here are two different methods we used to determine why the square root of 16058 cannot be simplified.

1) To be able to simplify the square root of 16058, one of the factors of 16058 other than 1 must be a perfect square. The factors of 16058 are 1, 2, 7, 14, 31, 37, 62, 74, 217, 259, 434, 518, 1147, 2294, 8029, and 16058. Since none of these factors are perfect squares, the square root of 16058 cannot be simplified.

2) To be able to simplify the square root of 16058, all the prime factors of 16058 cannot be unique. When we did prime factorization of 16058, we found that 2 x 7 x 31 x 37 equals 16058. Since all the prime factors are unique, the square root of 16058 cannot be simplified.

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