Simplify Square Root of 93067

What is the square root of 93067 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.

√93067 = A√B

Unfortunately, the square root of 93067 cannot be simplified. Thus, here is the answer to the square root of 93067 in its simplest form:

√ 93067 = √ 93067

Here are two different methods we used to determine why the square root of 93067 cannot be simplified.

1) To be able to simplify the square root of 93067, one of the factors of 93067 other than 1 must be a perfect square. The factors of 93067 are 1, 13, 7159, and 93067. Since none of these factors are perfect squares, the square root of 93067 cannot be simplified.

2) To be able to simplify the square root of 93067, all the prime factors of 93067 cannot be unique. When we did prime factorization of 93067, we found that 13 x 7159 equals 93067. Since all the prime factors are unique, the square root of 93067 cannot be simplified.

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