Simplify Square Root of 55995

What is the square root of 55995 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.

√55995 = A√B

Unfortunately, the square root of 55995 cannot be simplified. Thus, here is the answer to the square root of 55995 in its simplest form:

√ 55995 = √ 55995

Here are two different methods we used to determine why the square root of 55995 cannot be simplified.

1) To be able to simplify the square root of 55995, one of the factors of 55995 other than 1 must be a perfect square. The factors of 55995 are 1, 3, 5, 15, 3733, 11199, 18665, and 55995. Since none of these factors are perfect squares, the square root of 55995 cannot be simplified.

2) To be able to simplify the square root of 55995, all the prime factors of 55995 cannot be unique. When we did prime factorization of 55995, we found that 3 x 5 x 3733 equals 55995. Since all the prime factors are unique, the square root of 55995 cannot be simplified.

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