Simplify Square Root of 53985

What is the square root of 53985 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.

√53985 = A√B

Unfortunately, the square root of 53985 cannot be simplified. Thus, here is the answer to the square root of 53985 in its simplest form:

√ 53985 = √ 53985

Here are two different methods we used to determine why the square root of 53985 cannot be simplified.

1) To be able to simplify the square root of 53985, one of the factors of 53985 other than 1 must be a perfect square. The factors of 53985 are 1, 3, 5, 15, 59, 61, 177, 183, 295, 305, 885, 915, 3599, 10797, 17995, and 53985. Since none of these factors are perfect squares, the square root of 53985 cannot be simplified.

2) To be able to simplify the square root of 53985, all the prime factors of 53985 cannot be unique. When we did prime factorization of 53985, we found that 3 x 5 x 59 x 61 equals 53985. Since all the prime factors are unique, the square root of 53985 cannot be simplified.

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