Simplify Square Root of 95129

What is the square root of 95129 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.

√95129 = A√B

Unfortunately, the square root of 95129 cannot be simplified. Thus, here is the answer to the square root of 95129 in its simplest form:

√ 95129 = √ 95129

Here are two different methods we used to determine why the square root of 95129 cannot be simplified.

1) To be able to simplify the square root of 95129, one of the factors of 95129 other than 1 must be a perfect square. The factors of 95129 are 1, 251, 379, and 95129. Since none of these factors are perfect squares, the square root of 95129 cannot be simplified.

2) To be able to simplify the square root of 95129, all the prime factors of 95129 cannot be unique. When we did prime factorization of 95129, we found that 251 x 379 equals 95129. Since all the prime factors are unique, the square root of 95129 cannot be simplified.

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