Simplify Square Root of 61518

What is the square root of 61518 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.

√61518 = A√B

Unfortunately, the square root of 61518 cannot be simplified. Thus, here is the answer to the square root of 61518 in its simplest form:

√ 61518 = √ 61518

Here are two different methods we used to determine why the square root of 61518 cannot be simplified.

1) To be able to simplify the square root of 61518, one of the factors of 61518 other than 1 must be a perfect square. The factors of 61518 are 1, 2, 3, 6, 10253, 20506, 30759, and 61518. Since none of these factors are perfect squares, the square root of 61518 cannot be simplified.

2) To be able to simplify the square root of 61518, all the prime factors of 61518 cannot be unique. When we did prime factorization of 61518, we found that 2 x 3 x 10253 equals 61518. Since all the prime factors are unique, the square root of 61518 cannot be simplified.

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