Simplify Square Root of 25518

What is the square root of 25518 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.

√25518 = A√B

Unfortunately, the square root of 25518 cannot be simplified. Thus, here is the answer to the square root of 25518 in its simplest form:

√ 25518 = √ 25518

Here are two different methods we used to determine why the square root of 25518 cannot be simplified.

1) To be able to simplify the square root of 25518, one of the factors of 25518 other than 1 must be a perfect square. The factors of 25518 are 1, 2, 3, 6, 4253, 8506, 12759, and 25518. Since none of these factors are perfect squares, the square root of 25518 cannot be simplified.

2) To be able to simplify the square root of 25518, all the prime factors of 25518 cannot be unique. When we did prime factorization of 25518, we found that 2 x 3 x 4253 equals 25518. Since all the prime factors are unique, the square root of 25518 cannot be simplified.

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