Simplify Square Root of 39981

What is the square root of 39981 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.

√39981 = A√B

Unfortunately, the square root of 39981 cannot be simplified. Thus, here is the answer to the square root of 39981 in its simplest form:

√ 39981 = √ 39981

Here are two different methods we used to determine why the square root of 39981 cannot be simplified.

1) To be able to simplify the square root of 39981, one of the factors of 39981 other than 1 must be a perfect square. The factors of 39981 are 1, 3, 13327, and 39981. Since none of these factors are perfect squares, the square root of 39981 cannot be simplified.

2) To be able to simplify the square root of 39981, all the prime factors of 39981 cannot be unique. When we did prime factorization of 39981, we found that 3 x 13327 equals 39981. Since all the prime factors are unique, the square root of 39981 cannot be simplified.

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