Simplify Square Root of 63939

What is the square root of 63939 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.

√63939 = A√B

Unfortunately, the square root of 63939 cannot be simplified. Thus, here is the answer to the square root of 63939 in its simplest form:

√ 63939 = √ 63939

Here are two different methods we used to determine why the square root of 63939 cannot be simplified.

1) To be able to simplify the square root of 63939, one of the factors of 63939 other than 1 must be a perfect square. The factors of 63939 are 1, 3, 21313, and 63939. Since none of these factors are perfect squares, the square root of 63939 cannot be simplified.

2) To be able to simplify the square root of 63939, all the prime factors of 63939 cannot be unique. When we did prime factorization of 63939, we found that 3 x 21313 equals 63939. Since all the prime factors are unique, the square root of 63939 cannot be simplified.

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