Simplify Square Root of 95579

What is the square root of 95579 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.

√95579 = A√B

Unfortunately, the square root of 95579 cannot be simplified. Thus, here is the answer to the square root of 95579 in its simplest form:

√ 95579 = √ 95579

Here are two different methods we used to determine why the square root of 95579 cannot be simplified.

1) To be able to simplify the square root of 95579, one of the factors of 95579 other than 1 must be a perfect square. The factors of 95579 are 1, 11, 8689, and 95579. Since none of these factors are perfect squares, the square root of 95579 cannot be simplified.

2) To be able to simplify the square root of 95579, all the prime factors of 95579 cannot be unique. When we did prime factorization of 95579, we found that 11 x 8689 equals 95579. Since all the prime factors are unique, the square root of 95579 cannot be simplified.

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