Simplify Square Root of 17105

What is the square root of 17105 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.

√17105 = A√B

Unfortunately, the square root of 17105 cannot be simplified. Thus, here is the answer to the square root of 17105 in its simplest form:

√ 17105 = √ 17105

Here are two different methods we used to determine why the square root of 17105 cannot be simplified.

1) To be able to simplify the square root of 17105, one of the factors of 17105 other than 1 must be a perfect square. The factors of 17105 are 1, 5, 11, 55, 311, 1555, 3421, and 17105. Since none of these factors are perfect squares, the square root of 17105 cannot be simplified.

2) To be able to simplify the square root of 17105, all the prime factors of 17105 cannot be unique. When we did prime factorization of 17105, we found that 5 x 11 x 311 equals 17105. Since all the prime factors are unique, the square root of 17105 cannot be simplified.

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