Simplify Square Root of 91166

What is the square root of 91166 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.

√91166 = A√B

Unfortunately, the square root of 91166 cannot be simplified. Thus, here is the answer to the square root of 91166 in its simplest form:

√ 91166 = √ 91166

Here are two different methods we used to determine why the square root of 91166 cannot be simplified.

1) To be able to simplify the square root of 91166, one of the factors of 91166 other than 1 must be a perfect square. The factors of 91166 are 1, 2, 79, 158, 577, 1154, 45583, and 91166. Since none of these factors are perfect squares, the square root of 91166 cannot be simplified.

2) To be able to simplify the square root of 91166, all the prime factors of 91166 cannot be unique. When we did prime factorization of 91166, we found that 2 x 79 x 577 equals 91166. Since all the prime factors are unique, the square root of 91166 cannot be simplified.

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