Simplify Square Root of 23831

What is the square root of 23831 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.

√23831 = A√B

Unfortunately, the square root of 23831 cannot be simplified. Thus, here is the answer to the square root of 23831 in its simplest form:

√ 23831 = √ 23831

Here are two different methods we used to determine why the square root of 23831 cannot be simplified.

1) To be able to simplify the square root of 23831, one of the factors of 23831 other than 1 must be a perfect square. The factors of 23831 are 1 and 23831. Since none of these factors are perfect squares, the square root of 23831 cannot be simplified.

2) To be able to simplify the square root of 23831, all the prime factors of 23831 cannot be unique. When we did prime factorization of 23831, we found that 23831 equals 23831. Since all the prime factors are unique, the square root of 23831 cannot be simplified.

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