Simplify Square Root of 32133

What is the square root of 32133 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.

√32133 = A√B

Unfortunately, the square root of 32133 cannot be simplified. Thus, here is the answer to the square root of 32133 in its simplest form:

√ 32133 = √ 32133

Here are two different methods we used to determine why the square root of 32133 cannot be simplified.

1) To be able to simplify the square root of 32133, one of the factors of 32133 other than 1 must be a perfect square. The factors of 32133 are 1, 3, 10711, and 32133. Since none of these factors are perfect squares, the square root of 32133 cannot be simplified.

2) To be able to simplify the square root of 32133, all the prime factors of 32133 cannot be unique. When we did prime factorization of 32133, we found that 3 x 10711 equals 32133. Since all the prime factors are unique, the square root of 32133 cannot be simplified.

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