Simplify Square Root of 13601

What is the square root of 13601 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.

√13601 = A√B

Unfortunately, the square root of 13601 cannot be simplified. Thus, here is the answer to the square root of 13601 in its simplest form:

√ 13601 = √ 13601

Here are two different methods we used to determine why the square root of 13601 cannot be simplified.

1) To be able to simplify the square root of 13601, one of the factors of 13601 other than 1 must be a perfect square. The factors of 13601 are 1, 7, 29, 67, 203, 469, 1943, and 13601. Since none of these factors are perfect squares, the square root of 13601 cannot be simplified.

2) To be able to simplify the square root of 13601, all the prime factors of 13601 cannot be unique. When we did prime factorization of 13601, we found that 7 x 29 x 67 equals 13601. Since all the prime factors are unique, the square root of 13601 cannot be simplified.

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