Simplify Square Root of 39741

What is the square root of 39741 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.

√39741 = A√B

Unfortunately, the square root of 39741 cannot be simplified. Thus, here is the answer to the square root of 39741 in its simplest form:

√ 39741 = √ 39741

Here are two different methods we used to determine why the square root of 39741 cannot be simplified.

1) To be able to simplify the square root of 39741, one of the factors of 39741 other than 1 must be a perfect square. The factors of 39741 are 1, 3, 13, 39, 1019, 3057, 13247, and 39741. Since none of these factors are perfect squares, the square root of 39741 cannot be simplified.

2) To be able to simplify the square root of 39741, all the prime factors of 39741 cannot be unique. When we did prime factorization of 39741, we found that 3 x 13 x 1019 equals 39741. Since all the prime factors are unique, the square root of 39741 cannot be simplified.

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