Simplify Square Root of 22027

What is the square root of 22027 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.

√22027 = A√B

Unfortunately, the square root of 22027 cannot be simplified. Thus, here is the answer to the square root of 22027 in its simplest form:

√ 22027 = √ 22027

Here are two different methods we used to determine why the square root of 22027 cannot be simplified.

1) To be able to simplify the square root of 22027, one of the factors of 22027 other than 1 must be a perfect square. The factors of 22027 are 1 and 22027. Since none of these factors are perfect squares, the square root of 22027 cannot be simplified.

2) To be able to simplify the square root of 22027, all the prime factors of 22027 cannot be unique. When we did prime factorization of 22027, we found that 22027 equals 22027. Since all the prime factors are unique, the square root of 22027 cannot be simplified.

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