Simplify Square Root of 19883

What is the square root of 19883 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.

√19883 = A√B

Unfortunately, the square root of 19883 cannot be simplified. Thus, here is the answer to the square root of 19883 in its simplest form:

√ 19883 = √ 19883

Here are two different methods we used to determine why the square root of 19883 cannot be simplified.

1) To be able to simplify the square root of 19883, one of the factors of 19883 other than 1 must be a perfect square. The factors of 19883 are 1, 59, 337, and 19883. Since none of these factors are perfect squares, the square root of 19883 cannot be simplified.

2) To be able to simplify the square root of 19883, all the prime factors of 19883 cannot be unique. When we did prime factorization of 19883, we found that 59 x 337 equals 19883. Since all the prime factors are unique, the square root of 19883 cannot be simplified.

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