Simplify Square Root of 72185

What is the square root of 72185 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.

√72185 = A√B

Unfortunately, the square root of 72185 cannot be simplified. Thus, here is the answer to the square root of 72185 in its simplest form:

√ 72185 = √ 72185

Here are two different methods we used to determine why the square root of 72185 cannot be simplified.

1) To be able to simplify the square root of 72185, one of the factors of 72185 other than 1 must be a perfect square. The factors of 72185 are 1, 5, 14437, and 72185. Since none of these factors are perfect squares, the square root of 72185 cannot be simplified.

2) To be able to simplify the square root of 72185, all the prime factors of 72185 cannot be unique. When we did prime factorization of 72185, we found that 5 x 14437 equals 72185. Since all the prime factors are unique, the square root of 72185 cannot be simplified.

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