Simplify Square Root of 30963

What is the square root of 30963 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.

√30963 = A√B

Unfortunately, the square root of 30963 cannot be simplified. Thus, here is the answer to the square root of 30963 in its simplest form:

√ 30963 = √ 30963

Here are two different methods we used to determine why the square root of 30963 cannot be simplified.

1) To be able to simplify the square root of 30963, one of the factors of 30963 other than 1 must be a perfect square. The factors of 30963 are 1, 3, 10321, and 30963. Since none of these factors are perfect squares, the square root of 30963 cannot be simplified.

2) To be able to simplify the square root of 30963, all the prime factors of 30963 cannot be unique. When we did prime factorization of 30963, we found that 3 x 10321 equals 30963. Since all the prime factors are unique, the square root of 30963 cannot be simplified.

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