Simplify Square Root of 93543

What is the square root of 93543 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.

√93543 = A√B

Unfortunately, the square root of 93543 cannot be simplified. Thus, here is the answer to the square root of 93543 in its simplest form:

√ 93543 = √ 93543

Here are two different methods we used to determine why the square root of 93543 cannot be simplified.

1) To be able to simplify the square root of 93543, one of the factors of 93543 other than 1 must be a perfect square. The factors of 93543 are 1, 3, 31181, and 93543. Since none of these factors are perfect squares, the square root of 93543 cannot be simplified.

2) To be able to simplify the square root of 93543, all the prime factors of 93543 cannot be unique. When we did prime factorization of 93543, we found that 3 x 31181 equals 93543. Since all the prime factors are unique, the square root of 93543 cannot be simplified.

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