Simplify Square Root of 30903

What is the square root of 30903 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.

√30903 = A√B

Unfortunately, the square root of 30903 cannot be simplified. Thus, here is the answer to the square root of 30903 in its simplest form:

√ 30903 = √ 30903

Here are two different methods we used to determine why the square root of 30903 cannot be simplified.

1) To be able to simplify the square root of 30903, one of the factors of 30903 other than 1 must be a perfect square. The factors of 30903 are 1, 3, 10301, and 30903. Since none of these factors are perfect squares, the square root of 30903 cannot be simplified.

2) To be able to simplify the square root of 30903, all the prime factors of 30903 cannot be unique. When we did prime factorization of 30903, we found that 3 x 10301 equals 30903. Since all the prime factors are unique, the square root of 30903 cannot be simplified.

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