Simplify Square Root of 16117

What is the square root of 16117 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.

√16117 = A√B

Unfortunately, the square root of 16117 cannot be simplified. Thus, here is the answer to the square root of 16117 in its simplest form:

√ 16117 = √ 16117

Here are two different methods we used to determine why the square root of 16117 cannot be simplified.

1) To be able to simplify the square root of 16117, one of the factors of 16117 other than 1 must be a perfect square. The factors of 16117 are 1, 71, 227, and 16117. Since none of these factors are perfect squares, the square root of 16117 cannot be simplified.

2) To be able to simplify the square root of 16117, all the prime factors of 16117 cannot be unique. When we did prime factorization of 16117, we found that 71 x 227 equals 16117. Since all the prime factors are unique, the square root of 16117 cannot be simplified.

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