Simplify Square Root of 13602

What is the square root of 13602 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.

√13602 = A√B

Unfortunately, the square root of 13602 cannot be simplified. Thus, here is the answer to the square root of 13602 in its simplest form:

√ 13602 = √ 13602

Here are two different methods we used to determine why the square root of 13602 cannot be simplified.

1) To be able to simplify the square root of 13602, one of the factors of 13602 other than 1 must be a perfect square. The factors of 13602 are 1, 2, 3, 6, 2267, 4534, 6801, and 13602. Since none of these factors are perfect squares, the square root of 13602 cannot be simplified.

2) To be able to simplify the square root of 13602, all the prime factors of 13602 cannot be unique. When we did prime factorization of 13602, we found that 2 x 3 x 2267 equals 13602. Since all the prime factors are unique, the square root of 13602 cannot be simplified.

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