Simplify Square Root of 81371

What is the square root of 81371 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.

√81371 = A√B

Unfortunately, the square root of 81371 cannot be simplified. Thus, here is the answer to the square root of 81371 in its simplest form:

√ 81371 = √ 81371

Here are two different methods we used to determine why the square root of 81371 cannot be simplified.

1) To be able to simplify the square root of 81371, one of the factors of 81371 other than 1 must be a perfect square. The factors of 81371 are 1 and 81371. Since none of these factors are perfect squares, the square root of 81371 cannot be simplified.

2) To be able to simplify the square root of 81371, all the prime factors of 81371 cannot be unique. When we did prime factorization of 81371, we found that 81371 equals 81371. Since all the prime factors are unique, the square root of 81371 cannot be simplified.

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