Simplify Square Root of 23281

What is the square root of 23281 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.

√23281 = A√B

Unfortunately, the square root of 23281 cannot be simplified. Thus, here is the answer to the square root of 23281 in its simplest form:

√ 23281 = √ 23281

Here are two different methods we used to determine why the square root of 23281 cannot be simplified.

1) To be able to simplify the square root of 23281, one of the factors of 23281 other than 1 must be a perfect square. The factors of 23281 are 1, 31, 751, and 23281. Since none of these factors are perfect squares, the square root of 23281 cannot be simplified.

2) To be able to simplify the square root of 23281, all the prime factors of 23281 cannot be unique. When we did prime factorization of 23281, we found that 31 x 751 equals 23281. Since all the prime factors are unique, the square root of 23281 cannot be simplified.

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