Simplify Square Root of 85259

What is the square root of 85259 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.

√85259 = A√B

Unfortunately, the square root of 85259 cannot be simplified. Thus, here is the answer to the square root of 85259 in its simplest form:

√ 85259 = √ 85259

Here are two different methods we used to determine why the square root of 85259 cannot be simplified.

1) To be able to simplify the square root of 85259, one of the factors of 85259 other than 1 must be a perfect square. The factors of 85259 are 1 and 85259. Since none of these factors are perfect squares, the square root of 85259 cannot be simplified.

2) To be able to simplify the square root of 85259, all the prime factors of 85259 cannot be unique. When we did prime factorization of 85259, we found that 85259 equals 85259. Since all the prime factors are unique, the square root of 85259 cannot be simplified.

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