Simplify Square Root of 65699

What is the square root of 65699 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.

√65699 = A√B

Unfortunately, the square root of 65699 cannot be simplified. Thus, here is the answer to the square root of 65699 in its simplest form:

√ 65699 = √ 65699

Here are two different methods we used to determine why the square root of 65699 cannot be simplified.

1) To be able to simplify the square root of 65699, one of the factors of 65699 other than 1 must be a perfect square. The factors of 65699 are 1 and 65699. Since none of these factors are perfect squares, the square root of 65699 cannot be simplified.

2) To be able to simplify the square root of 65699, all the prime factors of 65699 cannot be unique. When we did prime factorization of 65699, we found that 65699 equals 65699. Since all the prime factors are unique, the square root of 65699 cannot be simplified.

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