Simplify Square Root of 84437

What is the square root of 84437 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.

√84437 = A√B

Unfortunately, the square root of 84437 cannot be simplified. Thus, here is the answer to the square root of 84437 in its simplest form:

√ 84437 = √ 84437

Here are two different methods we used to determine why the square root of 84437 cannot be simplified.

1) To be able to simplify the square root of 84437, one of the factors of 84437 other than 1 must be a perfect square. The factors of 84437 are 1 and 84437. Since none of these factors are perfect squares, the square root of 84437 cannot be simplified.

2) To be able to simplify the square root of 84437, all the prime factors of 84437 cannot be unique. When we did prime factorization of 84437, we found that 84437 equals 84437. Since all the prime factors are unique, the square root of 84437 cannot be simplified.

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