Simplify Square Root of 19931

What is the square root of 19931 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.

√19931 = A√B

Unfortunately, the square root of 19931 cannot be simplified. Thus, here is the answer to the square root of 19931 in its simplest form:

√ 19931 = √ 19931

Here are two different methods we used to determine why the square root of 19931 cannot be simplified.

1) To be able to simplify the square root of 19931, one of the factors of 19931 other than 1 must be a perfect square. The factors of 19931 are 1, 19, 1049, and 19931. Since none of these factors are perfect squares, the square root of 19931 cannot be simplified.

2) To be able to simplify the square root of 19931, all the prime factors of 19931 cannot be unique. When we did prime factorization of 19931, we found that 19 x 1049 equals 19931. Since all the prime factors are unique, the square root of 19931 cannot be simplified.

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