Simplify Square Root of 84809

What is the square root of 84809 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.

√84809 = A√B

Unfortunately, the square root of 84809 cannot be simplified. Thus, here is the answer to the square root of 84809 in its simplest form:

√ 84809 = √ 84809

Here are two different methods we used to determine why the square root of 84809 cannot be simplified.

1) To be able to simplify the square root of 84809, one of the factors of 84809 other than 1 must be a perfect square. The factors of 84809 are 1 and 84809. Since none of these factors are perfect squares, the square root of 84809 cannot be simplified.

2) To be able to simplify the square root of 84809, all the prime factors of 84809 cannot be unique. When we did prime factorization of 84809, we found that 84809 equals 84809. Since all the prime factors are unique, the square root of 84809 cannot be simplified.

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