Simplify Square Root of 80061

What is the square root of 80061 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.

√80061 = A√B

Unfortunately, the square root of 80061 cannot be simplified. Thus, here is the answer to the square root of 80061 in its simplest form:

√ 80061 = √ 80061

Here are two different methods we used to determine why the square root of 80061 cannot be simplified.

1) To be able to simplify the square root of 80061, one of the factors of 80061 other than 1 must be a perfect square. The factors of 80061 are 1, 3, 26687, and 80061. Since none of these factors are perfect squares, the square root of 80061 cannot be simplified.

2) To be able to simplify the square root of 80061, all the prime factors of 80061 cannot be unique. When we did prime factorization of 80061, we found that 3 x 26687 equals 80061. Since all the prime factors are unique, the square root of 80061 cannot be simplified.

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