Simplify Square Root of 30067

What is the square root of 30067 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.

√30067 = A√B

Unfortunately, the square root of 30067 cannot be simplified. Thus, here is the answer to the square root of 30067 in its simplest form:

√ 30067 = √ 30067

Here are two different methods we used to determine why the square root of 30067 cannot be simplified.

1) To be able to simplify the square root of 30067, one of the factors of 30067 other than 1 must be a perfect square. The factors of 30067 are 1, 107, 281, and 30067. Since none of these factors are perfect squares, the square root of 30067 cannot be simplified.

2) To be able to simplify the square root of 30067, all the prime factors of 30067 cannot be unique. When we did prime factorization of 30067, we found that 107 x 281 equals 30067. Since all the prime factors are unique, the square root of 30067 cannot be simplified.

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