Simplify Square Root of 18058

What is the square root of 18058 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.

√18058 = A√B

Unfortunately, the square root of 18058 cannot be simplified. Thus, here is the answer to the square root of 18058 in its simplest form:

√ 18058 = √ 18058

Here are two different methods we used to determine why the square root of 18058 cannot be simplified.

1) To be able to simplify the square root of 18058, one of the factors of 18058 other than 1 must be a perfect square. The factors of 18058 are 1, 2, 9029, and 18058. Since none of these factors are perfect squares, the square root of 18058 cannot be simplified.

2) To be able to simplify the square root of 18058, all the prime factors of 18058 cannot be unique. When we did prime factorization of 18058, we found that 2 x 9029 equals 18058. Since all the prime factors are unique, the square root of 18058 cannot be simplified.

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