Simplify Square Root of 95815

What is the square root of 95815 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.

√95815 = A√B

Unfortunately, the square root of 95815 cannot be simplified. Thus, here is the answer to the square root of 95815 in its simplest form:

√ 95815 = √ 95815

Here are two different methods we used to determine why the square root of 95815 cannot be simplified.

1) To be able to simplify the square root of 95815, one of the factors of 95815 other than 1 must be a perfect square. The factors of 95815 are 1, 5, 19163, and 95815. Since none of these factors are perfect squares, the square root of 95815 cannot be simplified.

2) To be able to simplify the square root of 95815, all the prime factors of 95815 cannot be unique. When we did prime factorization of 95815, we found that 5 x 19163 equals 95815. Since all the prime factors are unique, the square root of 95815 cannot be simplified.

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