Simplify Square Root of 17013

What is the square root of 17013 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.

√17013 = A√B

Unfortunately, the square root of 17013 cannot be simplified. Thus, here is the answer to the square root of 17013 in its simplest form:

√ 17013 = √ 17013

Here are two different methods we used to determine why the square root of 17013 cannot be simplified.

1) To be able to simplify the square root of 17013, one of the factors of 17013 other than 1 must be a perfect square. The factors of 17013 are 1, 3, 53, 107, 159, 321, 5671, and 17013. Since none of these factors are perfect squares, the square root of 17013 cannot be simplified.

2) To be able to simplify the square root of 17013, all the prime factors of 17013 cannot be unique. When we did prime factorization of 17013, we found that 3 x 53 x 107 equals 17013. Since all the prime factors are unique, the square root of 17013 cannot be simplified.

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