Simplify Square Root of 9895

What is the square root of 9895 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.

√9895 = A√B

Unfortunately, the square root of 9895 cannot be simplified. Thus, here is the answer to the square root of 9895 in its simplest form:

√ 9895 = √ 9895

Here are two different methods we used to determine why the square root of 9895 cannot be simplified.

1) To be able to simplify the square root of 9895, one of the factors of 9895 other than 1 must be a perfect square. The factors of 9895 are 1, 5, 1979, and 9895. Since none of these factors are perfect squares, the square root of 9895 cannot be simplified.

2) To be able to simplify the square root of 9895, all the prime factors of 9895 cannot be unique. When we did prime factorization of 9895, we found that 5 x 1979 equals 9895. Since all the prime factors are unique, the square root of 9895 cannot be simplified.

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