Simplify Square Root of 72281

What is the square root of 72281 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.

√72281 = A√B

Unfortunately, the square root of 72281 cannot be simplified. Thus, here is the answer to the square root of 72281 in its simplest form:

√ 72281 = √ 72281

Here are two different methods we used to determine why the square root of 72281 cannot be simplified.

1) To be able to simplify the square root of 72281, one of the factors of 72281 other than 1 must be a perfect square. The factors of 72281 are 1, 11, 6571, and 72281. Since none of these factors are perfect squares, the square root of 72281 cannot be simplified.

2) To be able to simplify the square root of 72281, all the prime factors of 72281 cannot be unique. When we did prime factorization of 72281, we found that 11 x 6571 equals 72281. Since all the prime factors are unique, the square root of 72281 cannot be simplified.

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