Simplify Square Root of 30893

What is the square root of 30893 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.

√30893 = A√B

Unfortunately, the square root of 30893 cannot be simplified. Thus, here is the answer to the square root of 30893 in its simplest form:

√ 30893 = √ 30893

Here are two different methods we used to determine why the square root of 30893 cannot be simplified.

1) To be able to simplify the square root of 30893, one of the factors of 30893 other than 1 must be a perfect square. The factors of 30893 are 1 and 30893. Since none of these factors are perfect squares, the square root of 30893 cannot be simplified.

2) To be able to simplify the square root of 30893, all the prime factors of 30893 cannot be unique. When we did prime factorization of 30893, we found that 30893 equals 30893. Since all the prime factors are unique, the square root of 30893 cannot be simplified.

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