Simplify Square Root of 211

What is the square root of 211 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.

√211 = A√B

Unfortunately, the square root of 211 cannot be simplified. Thus, here is the answer to the square root of 211 in its simplest form:

√ 211 = √ 211

Here are two different methods we used to determine why the square root of 211 cannot be simplified.

1) To be able to simplify the square root of 211, one of the factors of 211 other than 1 must be a perfect square. The factors of 211 are 1 and 211. Since none of these factors are perfect squares, the square root of 211 cannot be simplified.

2) To be able to simplify the square root of 211, all the prime factors of 211 cannot be unique. When we did prime factorization of 211, we found that 211 equals 211. Since all the prime factors are unique, the square root of 211 cannot be simplified.

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