Simplify Square Root of 97171




What is the square root of 97171 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.

97171 = A√B

Unfortunately, the square root of 97171 cannot be simplified. Thus, here is the answer to the square root of 97171 in its simplest form:

97171 = √ 97171


Here are two different methods we used to determine why the square root of 97171 cannot be simplified.

1) To be able to simplify the square root of 97171, one of the factors of 97171 other than 1 must be a perfect square. The factors of 97171 are 1 and 97171. Since none of these factors are perfect squares, the square root of 97171 cannot be simplified.

2) To be able to simplify the square root of 97171, all the prime factors of 97171 cannot be unique. When we did prime factorization of 97171, we found that 97171 equals 97171. Since all the prime factors are unique, the square root of 97171 cannot be simplified.



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