Simplify Square Root of 19599

What is the square root of 19599 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.

√19599 = A√B

Unfortunately, the square root of 19599 cannot be simplified. Thus, here is the answer to the square root of 19599 in its simplest form:

√ 19599 = √ 19599

Here are two different methods we used to determine why the square root of 19599 cannot be simplified.

1) To be able to simplify the square root of 19599, one of the factors of 19599 other than 1 must be a perfect square. The factors of 19599 are 1, 3, 47, 139, 141, 417, 6533, and 19599. Since none of these factors are perfect squares, the square root of 19599 cannot be simplified.

2) To be able to simplify the square root of 19599, all the prime factors of 19599 cannot be unique. When we did prime factorization of 19599, we found that 3 x 47 x 139 equals 19599. Since all the prime factors are unique, the square root of 19599 cannot be simplified.

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