Simplify Square Root of 80981

What is the square root of 80981 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.

√80981 = A√B

Unfortunately, the square root of 80981 cannot be simplified. Thus, here is the answer to the square root of 80981 in its simplest form:

√ 80981 = √ 80981

Here are two different methods we used to determine why the square root of 80981 cannot be simplified.

1) To be able to simplify the square root of 80981, one of the factors of 80981 other than 1 must be a perfect square. The factors of 80981 are 1, 47, 1723, and 80981. Since none of these factors are perfect squares, the square root of 80981 cannot be simplified.

2) To be able to simplify the square root of 80981, all the prime factors of 80981 cannot be unique. When we did prime factorization of 80981, we found that 47 x 1723 equals 80981. Since all the prime factors are unique, the square root of 80981 cannot be simplified.

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