Simplify Square Root of 91145

What is the square root of 91145 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.

√91145 = A√B

Unfortunately, the square root of 91145 cannot be simplified. Thus, here is the answer to the square root of 91145 in its simplest form:

√ 91145 = √ 91145

Here are two different methods we used to determine why the square root of 91145 cannot be simplified.

1) To be able to simplify the square root of 91145, one of the factors of 91145 other than 1 must be a perfect square. The factors of 91145 are 1, 5, 18229, and 91145. Since none of these factors are perfect squares, the square root of 91145 cannot be simplified.

2) To be able to simplify the square root of 91145, all the prime factors of 91145 cannot be unique. When we did prime factorization of 91145, we found that 5 x 18229 equals 91145. Since all the prime factors are unique, the square root of 91145 cannot be simplified.

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