Simplify Square Root of 12017

What is the square root of 12017 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.

√12017 = A√B

Unfortunately, the square root of 12017 cannot be simplified. Thus, here is the answer to the square root of 12017 in its simplest form:

√ 12017 = √ 12017

Here are two different methods we used to determine why the square root of 12017 cannot be simplified.

1) To be able to simplify the square root of 12017, one of the factors of 12017 other than 1 must be a perfect square. The factors of 12017 are 1, 61, 197, and 12017. Since none of these factors are perfect squares, the square root of 12017 cannot be simplified.

2) To be able to simplify the square root of 12017, all the prime factors of 12017 cannot be unique. When we did prime factorization of 12017, we found that 61 x 197 equals 12017. Since all the prime factors are unique, the square root of 12017 cannot be simplified.

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