Simplify Square Root of 93211

What is the square root of 93211 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.

√93211 = A√B

Unfortunately, the square root of 93211 cannot be simplified. Thus, here is the answer to the square root of 93211 in its simplest form:

√ 93211 = √ 93211

Here are two different methods we used to determine why the square root of 93211 cannot be simplified.

1) To be able to simplify the square root of 93211, one of the factors of 93211 other than 1 must be a perfect square. The factors of 93211 are 1, 17, 5483, and 93211. Since none of these factors are perfect squares, the square root of 93211 cannot be simplified.

2) To be able to simplify the square root of 93211, all the prime factors of 93211 cannot be unique. When we did prime factorization of 93211, we found that 17 x 5483 equals 93211. Since all the prime factors are unique, the square root of 93211 cannot be simplified.

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