Simplify Square Root of 22055

What is the square root of 22055 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.

√22055 = A√B

Unfortunately, the square root of 22055 cannot be simplified. Thus, here is the answer to the square root of 22055 in its simplest form:

√ 22055 = √ 22055

Here are two different methods we used to determine why the square root of 22055 cannot be simplified.

1) To be able to simplify the square root of 22055, one of the factors of 22055 other than 1 must be a perfect square. The factors of 22055 are 1, 5, 11, 55, 401, 2005, 4411, and 22055. Since none of these factors are perfect squares, the square root of 22055 cannot be simplified.

2) To be able to simplify the square root of 22055, all the prime factors of 22055 cannot be unique. When we did prime factorization of 22055, we found that 5 x 11 x 401 equals 22055. Since all the prime factors are unique, the square root of 22055 cannot be simplified.

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