Simplify Square Root of 64181

What is the square root of 64181 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.

√64181 = A√B

Unfortunately, the square root of 64181 cannot be simplified. Thus, here is the answer to the square root of 64181 in its simplest form:

√ 64181 = √ 64181

Here are two different methods we used to determine why the square root of 64181 cannot be simplified.

1) To be able to simplify the square root of 64181, one of the factors of 64181 other than 1 must be a perfect square. The factors of 64181 are 1, 13, 4937, and 64181. Since none of these factors are perfect squares, the square root of 64181 cannot be simplified.

2) To be able to simplify the square root of 64181, all the prime factors of 64181 cannot be unique. When we did prime factorization of 64181, we found that 13 x 4937 equals 64181. Since all the prime factors are unique, the square root of 64181 cannot be simplified.

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