Simplify Square Root of 83338

What is the square root of 83338 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.

√83338 = A√B

Unfortunately, the square root of 83338 cannot be simplified. Thus, here is the answer to the square root of 83338 in its simplest form:

√ 83338 = √ 83338

Here are two different methods we used to determine why the square root of 83338 cannot be simplified.

1) To be able to simplify the square root of 83338, one of the factors of 83338 other than 1 must be a perfect square. The factors of 83338 are 1, 2, 41669, and 83338. Since none of these factors are perfect squares, the square root of 83338 cannot be simplified.

2) To be able to simplify the square root of 83338, all the prime factors of 83338 cannot be unique. When we did prime factorization of 83338, we found that 2 x 41669 equals 83338. Since all the prime factors are unique, the square root of 83338 cannot be simplified.

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