Simplify Square Root of 95898

What is the square root of 95898 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.

√95898 = A√B

Unfortunately, the square root of 95898 cannot be simplified. Thus, here is the answer to the square root of 95898 in its simplest form:

√ 95898 = √ 95898

Here are two different methods we used to determine why the square root of 95898 cannot be simplified.

1) To be able to simplify the square root of 95898, one of the factors of 95898 other than 1 must be a perfect square. The factors of 95898 are 1, 2, 3, 6, 11, 22, 33, 66, 1453, 2906, 4359, 8718, 15983, 31966, 47949, and 95898. Since none of these factors are perfect squares, the square root of 95898 cannot be simplified.

2) To be able to simplify the square root of 95898, all the prime factors of 95898 cannot be unique. When we did prime factorization of 95898, we found that 2 x 3 x 11 x 1453 equals 95898. Since all the prime factors are unique, the square root of 95898 cannot be simplified.

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