Simplify Square Root of 64373

What is the square root of 64373 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.

√64373 = A√B

Unfortunately, the square root of 64373 cannot be simplified. Thus, here is the answer to the square root of 64373 in its simplest form:

√ 64373 = √ 64373

Here are two different methods we used to determine why the square root of 64373 cannot be simplified.

1) To be able to simplify the square root of 64373, one of the factors of 64373 other than 1 must be a perfect square. The factors of 64373 are 1 and 64373. Since none of these factors are perfect squares, the square root of 64373 cannot be simplified.

2) To be able to simplify the square root of 64373, all the prime factors of 64373 cannot be unique. When we did prime factorization of 64373, we found that 64373 equals 64373. Since all the prime factors are unique, the square root of 64373 cannot be simplified.

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