Simplify Square Root of 12847

What is the square root of 12847 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.

√12847 = A√B

Unfortunately, the square root of 12847 cannot be simplified. Thus, here is the answer to the square root of 12847 in its simplest form:

√ 12847 = √ 12847

Here are two different methods we used to determine why the square root of 12847 cannot be simplified.

1) To be able to simplify the square root of 12847, one of the factors of 12847 other than 1 must be a perfect square. The factors of 12847 are 1, 29, 443, and 12847. Since none of these factors are perfect squares, the square root of 12847 cannot be simplified.

2) To be able to simplify the square root of 12847, all the prime factors of 12847 cannot be unique. When we did prime factorization of 12847, we found that 29 x 443 equals 12847. Since all the prime factors are unique, the square root of 12847 cannot be simplified.

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