Simplify Square Root of 12347

What is the square root of 12347 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.

√12347 = A√B

Unfortunately, the square root of 12347 cannot be simplified. Thus, here is the answer to the square root of 12347 in its simplest form:

√ 12347 = √ 12347

Here are two different methods we used to determine why the square root of 12347 cannot be simplified.

1) To be able to simplify the square root of 12347, one of the factors of 12347 other than 1 must be a perfect square. The factors of 12347 are 1 and 12347. Since none of these factors are perfect squares, the square root of 12347 cannot be simplified.

2) To be able to simplify the square root of 12347, all the prime factors of 12347 cannot be unique. When we did prime factorization of 12347, we found that 12347 equals 12347. Since all the prime factors are unique, the square root of 12347 cannot be simplified.

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