Simplify Square Root of 64313

What is the square root of 64313 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.

√64313 = A√B

Unfortunately, the square root of 64313 cannot be simplified. Thus, here is the answer to the square root of 64313 in its simplest form:

√ 64313 = √ 64313

Here are two different methods we used to determine why the square root of 64313 cannot be simplified.

1) To be able to simplify the square root of 64313, one of the factors of 64313 other than 1 must be a perfect square. The factors of 64313 are 1, 73, 881, and 64313. Since none of these factors are perfect squares, the square root of 64313 cannot be simplified.

2) To be able to simplify the square root of 64313, all the prime factors of 64313 cannot be unique. When we did prime factorization of 64313, we found that 73 x 881 equals 64313. Since all the prime factors are unique, the square root of 64313 cannot be simplified.

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