Simplify Square Root of 97187

What is the square root of 97187 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.

√97187 = A√B

Unfortunately, the square root of 97187 cannot be simplified. Thus, here is the answer to the square root of 97187 in its simplest form:

√ 97187 = √ 97187

Here are two different methods we used to determine why the square root of 97187 cannot be simplified.

1) To be able to simplify the square root of 97187, one of the factors of 97187 other than 1 must be a perfect square. The factors of 97187 are 1 and 97187. Since none of these factors are perfect squares, the square root of 97187 cannot be simplified.

2) To be able to simplify the square root of 97187, all the prime factors of 97187 cannot be unique. When we did prime factorization of 97187, we found that 97187 equals 97187. Since all the prime factors are unique, the square root of 97187 cannot be simplified.

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