Simplify Square Root of 97331

What is the square root of 97331 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.

√97331 = A√B

Unfortunately, the square root of 97331 cannot be simplified. Thus, here is the answer to the square root of 97331 in its simplest form:

√ 97331 = √ 97331

Here are two different methods we used to determine why the square root of 97331 cannot be simplified.

1) To be able to simplify the square root of 97331, one of the factors of 97331 other than 1 must be a perfect square. The factors of 97331 are 1, 13, 7487, and 97331. Since none of these factors are perfect squares, the square root of 97331 cannot be simplified.

2) To be able to simplify the square root of 97331, all the prime factors of 97331 cannot be unique. When we did prime factorization of 97331, we found that 13 x 7487 equals 97331. Since all the prime factors are unique, the square root of 97331 cannot be simplified.

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