Simplify Square Root of 91829

What is the square root of 91829 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.

√91829 = A√B

Unfortunately, the square root of 91829 cannot be simplified. Thus, here is the answer to the square root of 91829 in its simplest form:

√ 91829 = √ 91829

Here are two different methods we used to determine why the square root of 91829 cannot be simplified.

1) To be able to simplify the square root of 91829, one of the factors of 91829 other than 1 must be a perfect square. The factors of 91829 are 1, 229, 401, and 91829. Since none of these factors are perfect squares, the square root of 91829 cannot be simplified.

2) To be able to simplify the square root of 91829, all the prime factors of 91829 cannot be unique. When we did prime factorization of 91829, we found that 229 x 401 equals 91829. Since all the prime factors are unique, the square root of 91829 cannot be simplified.

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