Simplify Square Root of 83269

What is the square root of 83269 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.

√83269 = A√B

Unfortunately, the square root of 83269 cannot be simplified. Thus, here is the answer to the square root of 83269 in its simplest form:

√ 83269 = √ 83269

Here are two different methods we used to determine why the square root of 83269 cannot be simplified.

1) To be able to simplify the square root of 83269, one of the factors of 83269 other than 1 must be a perfect square. The factors of 83269 are 1 and 83269. Since none of these factors are perfect squares, the square root of 83269 cannot be simplified.

2) To be able to simplify the square root of 83269, all the prime factors of 83269 cannot be unique. When we did prime factorization of 83269, we found that 83269 equals 83269. Since all the prime factors are unique, the square root of 83269 cannot be simplified.

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