Simplify Square Root of 84629

What is the square root of 84629 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.

√84629 = A√B

Unfortunately, the square root of 84629 cannot be simplified. Thus, here is the answer to the square root of 84629 in its simplest form:

√ 84629 = √ 84629

Here are two different methods we used to determine why the square root of 84629 cannot be simplified.

1) To be able to simplify the square root of 84629, one of the factors of 84629 other than 1 must be a perfect square. The factors of 84629 are 1 and 84629. Since none of these factors are perfect squares, the square root of 84629 cannot be simplified.

2) To be able to simplify the square root of 84629, all the prime factors of 84629 cannot be unique. When we did prime factorization of 84629, we found that 84629 equals 84629. Since all the prime factors are unique, the square root of 84629 cannot be simplified.

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