Simplify Square Root of 221




What is the square root of 221 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.

221 = A√B

Unfortunately, the square root of 221 cannot be simplified. Thus, here is the answer to the square root of 221 in its simplest form:

221 = √ 221


Here are two different methods we used to determine why the square root of 221 cannot be simplified.

1) To be able to simplify the square root of 221, one of the factors of 221 other than 1 must be a perfect square. The factors of 221 are 1, 13, 17, and 221. Since none of these factors are perfect squares, the square root of 221 cannot be simplified.

2) To be able to simplify the square root of 221, all the prime factors of 221 cannot be unique. When we did prime factorization of 221, we found that 13 x 17 equals 221. Since all the prime factors are unique, the square root of 221 cannot be simplified.



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