Simplify Square Root of 88215

What is the square root of 88215 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.

√88215 = A√B

Unfortunately, the square root of 88215 cannot be simplified. Thus, here is the answer to the square root of 88215 in its simplest form:

√ 88215 = √ 88215

Here are two different methods we used to determine why the square root of 88215 cannot be simplified.

1) To be able to simplify the square root of 88215, one of the factors of 88215 other than 1 must be a perfect square. The factors of 88215 are 1, 3, 5, 15, 5881, 17643, 29405, and 88215. Since none of these factors are perfect squares, the square root of 88215 cannot be simplified.

2) To be able to simplify the square root of 88215, all the prime factors of 88215 cannot be unique. When we did prime factorization of 88215, we found that 3 x 5 x 5881 equals 88215. Since all the prime factors are unique, the square root of 88215 cannot be simplified.

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