Simplify Square Root of 16041

What is the square root of 16041 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.

√16041 = A√B

Unfortunately, the square root of 16041 cannot be simplified. Thus, here is the answer to the square root of 16041 in its simplest form:

√ 16041 = √ 16041

Here are two different methods we used to determine why the square root of 16041 cannot be simplified.

1) To be able to simplify the square root of 16041, one of the factors of 16041 other than 1 must be a perfect square. The factors of 16041 are 1, 3, 5347, and 16041. Since none of these factors are perfect squares, the square root of 16041 cannot be simplified.

2) To be able to simplify the square root of 16041, all the prime factors of 16041 cannot be unique. When we did prime factorization of 16041, we found that 3 x 5347 equals 16041. Since all the prime factors are unique, the square root of 16041 cannot be simplified.

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