Simplify Square Root of 18067

What is the square root of 18067 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.

√18067 = A√B

Unfortunately, the square root of 18067 cannot be simplified. Thus, here is the answer to the square root of 18067 in its simplest form:

√ 18067 = √ 18067

Here are two different methods we used to determine why the square root of 18067 cannot be simplified.

1) To be able to simplify the square root of 18067, one of the factors of 18067 other than 1 must be a perfect square. The factors of 18067 are 1, 7, 29, 89, 203, 623, 2581, and 18067. Since none of these factors are perfect squares, the square root of 18067 cannot be simplified.

2) To be able to simplify the square root of 18067, all the prime factors of 18067 cannot be unique. When we did prime factorization of 18067, we found that 7 x 29 x 89 equals 18067. Since all the prime factors are unique, the square root of 18067 cannot be simplified.

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