Simplify Square Root of 16933

What is the square root of 16933 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.

√16933 = A√B

Unfortunately, the square root of 16933 cannot be simplified. Thus, here is the answer to the square root of 16933 in its simplest form:

√ 16933 = √ 16933

Here are two different methods we used to determine why the square root of 16933 cannot be simplified.

1) To be able to simplify the square root of 16933, one of the factors of 16933 other than 1 must be a perfect square. The factors of 16933 are 1, 7, 41, 59, 287, 413, 2419, and 16933. Since none of these factors are perfect squares, the square root of 16933 cannot be simplified.

2) To be able to simplify the square root of 16933, all the prime factors of 16933 cannot be unique. When we did prime factorization of 16933, we found that 7 x 41 x 59 equals 16933. Since all the prime factors are unique, the square root of 16933 cannot be simplified.

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