Simplify Square Root of 18829

What is the square root of 18829 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.

√18829 = A√B

Unfortunately, the square root of 18829 cannot be simplified. Thus, here is the answer to the square root of 18829 in its simplest form:

√ 18829 = √ 18829

Here are two different methods we used to determine why the square root of 18829 cannot be simplified.

1) To be able to simplify the square root of 18829, one of the factors of 18829 other than 1 must be a perfect square. The factors of 18829 are 1, 19, 991, and 18829. Since none of these factors are perfect squares, the square root of 18829 cannot be simplified.

2) To be able to simplify the square root of 18829, all the prime factors of 18829 cannot be unique. When we did prime factorization of 18829, we found that 19 x 991 equals 18829. Since all the prime factors are unique, the square root of 18829 cannot be simplified.

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