Simplify Square Root of 93041

What is the square root of 93041 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.

√93041 = A√B

Unfortunately, the square root of 93041 cannot be simplified. Thus, here is the answer to the square root of 93041 in its simplest form:

√ 93041 = √ 93041

Here are two different methods we used to determine why the square root of 93041 cannot be simplified.

1) To be able to simplify the square root of 93041, one of the factors of 93041 other than 1 must be a perfect square. The factors of 93041 are 1, 13, 17, 221, 421, 5473, 7157, and 93041. Since none of these factors are perfect squares, the square root of 93041 cannot be simplified.

2) To be able to simplify the square root of 93041, all the prime factors of 93041 cannot be unique. When we did prime factorization of 93041, we found that 13 x 17 x 421 equals 93041. Since all the prime factors are unique, the square root of 93041 cannot be simplified.

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