Simplify Square Root of 73081

What is the square root of 73081 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.

√73081 = A√B

Unfortunately, the square root of 73081 cannot be simplified. Thus, here is the answer to the square root of 73081 in its simplest form:

√ 73081 = √ 73081

Here are two different methods we used to determine why the square root of 73081 cannot be simplified.

1) To be able to simplify the square root of 73081, one of the factors of 73081 other than 1 must be a perfect square. The factors of 73081 are 1, 107, 683, and 73081. Since none of these factors are perfect squares, the square root of 73081 cannot be simplified.

2) To be able to simplify the square root of 73081, all the prime factors of 73081 cannot be unique. When we did prime factorization of 73081, we found that 107 x 683 equals 73081. Since all the prime factors are unique, the square root of 73081 cannot be simplified.

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