Simplify Square Root of 95993

What is the square root of 95993 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.

√95993 = A√B

Unfortunately, the square root of 95993 cannot be simplified. Thus, here is the answer to the square root of 95993 in its simplest form:

√ 95993 = √ 95993

Here are two different methods we used to determine why the square root of 95993 cannot be simplified.

1) To be able to simplify the square root of 95993, one of the factors of 95993 other than 1 must be a perfect square. The factors of 95993 are 1, 59, 1627, and 95993. Since none of these factors are perfect squares, the square root of 95993 cannot be simplified.

2) To be able to simplify the square root of 95993, all the prime factors of 95993 cannot be unique. When we did prime factorization of 95993, we found that 59 x 1627 equals 95993. Since all the prime factors are unique, the square root of 95993 cannot be simplified.

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