Simplify Square Root of 64867

What is the square root of 64867 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.

√64867 = A√B

Unfortunately, the square root of 64867 cannot be simplified. Thus, here is the answer to the square root of 64867 in its simplest form:

√ 64867 = √ 64867

Here are two different methods we used to determine why the square root of 64867 cannot be simplified.

1) To be able to simplify the square root of 64867, one of the factors of 64867 other than 1 must be a perfect square. The factors of 64867 are 1, 11, 5897, and 64867. Since none of these factors are perfect squares, the square root of 64867 cannot be simplified.

2) To be able to simplify the square root of 64867, all the prime factors of 64867 cannot be unique. When we did prime factorization of 64867, we found that 11 x 5897 equals 64867. Since all the prime factors are unique, the square root of 64867 cannot be simplified.

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