Simplify Square Root of 17113

What is the square root of 17113 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.

√17113 = A√B

Unfortunately, the square root of 17113 cannot be simplified. Thus, here is the answer to the square root of 17113 in its simplest form:

√ 17113 = √ 17113

Here are two different methods we used to determine why the square root of 17113 cannot be simplified.

1) To be able to simplify the square root of 17113, one of the factors of 17113 other than 1 must be a perfect square. The factors of 17113 are 1, 109, 157, and 17113. Since none of these factors are perfect squares, the square root of 17113 cannot be simplified.

2) To be able to simplify the square root of 17113, all the prime factors of 17113 cannot be unique. When we did prime factorization of 17113, we found that 109 x 157 equals 17113. Since all the prime factors are unique, the square root of 17113 cannot be simplified.

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