Simplify Square Root of 23881

What is the square root of 23881 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.

√23881 = A√B

Unfortunately, the square root of 23881 cannot be simplified. Thus, here is the answer to the square root of 23881 in its simplest form:

√ 23881 = √ 23881

Here are two different methods we used to determine why the square root of 23881 cannot be simplified.

1) To be able to simplify the square root of 23881, one of the factors of 23881 other than 1 must be a perfect square. The factors of 23881 are 1, 11, 13, 143, 167, 1837, 2171, and 23881. Since none of these factors are perfect squares, the square root of 23881 cannot be simplified.

2) To be able to simplify the square root of 23881, all the prime factors of 23881 cannot be unique. When we did prime factorization of 23881, we found that 11 x 13 x 167 equals 23881. Since all the prime factors are unique, the square root of 23881 cannot be simplified.

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