Simplify Square Root of 68917

What is the square root of 68917 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.

√68917 = A√B

Unfortunately, the square root of 68917 cannot be simplified. Thus, here is the answer to the square root of 68917 in its simplest form:

√ 68917 = √ 68917

Here are two different methods we used to determine why the square root of 68917 cannot be simplified.

1) To be able to simplify the square root of 68917, one of the factors of 68917 other than 1 must be a perfect square. The factors of 68917 are 1 and 68917. Since none of these factors are perfect squares, the square root of 68917 cannot be simplified.

2) To be able to simplify the square root of 68917, all the prime factors of 68917 cannot be unique. When we did prime factorization of 68917, we found that 68917 equals 68917. Since all the prime factors are unique, the square root of 68917 cannot be simplified.

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