Simplify Square Root of 64903

What is the square root of 64903 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.

√64903 = A√B

Unfortunately, the square root of 64903 cannot be simplified. Thus, here is the answer to the square root of 64903 in its simplest form:

√ 64903 = √ 64903

Here are two different methods we used to determine why the square root of 64903 cannot be simplified.

1) To be able to simplify the square root of 64903, one of the factors of 64903 other than 1 must be a perfect square. The factors of 64903 are 1, 41, 1583, and 64903. Since none of these factors are perfect squares, the square root of 64903 cannot be simplified.

2) To be able to simplify the square root of 64903, all the prime factors of 64903 cannot be unique. When we did prime factorization of 64903, we found that 41 x 1583 equals 64903. Since all the prime factors are unique, the square root of 64903 cannot be simplified.

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