Simplify Square Root of 69931

What is the square root of 69931 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.

√69931 = A√B

Unfortunately, the square root of 69931 cannot be simplified. Thus, here is the answer to the square root of 69931 in its simplest form:

√ 69931 = √ 69931

Here are two different methods we used to determine why the square root of 69931 cannot be simplified.

1) To be able to simplify the square root of 69931, one of the factors of 69931 other than 1 must be a perfect square. The factors of 69931 are 1 and 69931. Since none of these factors are perfect squares, the square root of 69931 cannot be simplified.

2) To be able to simplify the square root of 69931, all the prime factors of 69931 cannot be unique. When we did prime factorization of 69931, we found that 69931 equals 69931. Since all the prime factors are unique, the square root of 69931 cannot be simplified.

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