Simplify Square Root of 84697

What is the square root of 84697 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.

√84697 = A√B

Unfortunately, the square root of 84697 cannot be simplified. Thus, here is the answer to the square root of 84697 in its simplest form:

√ 84697 = √ 84697

Here are two different methods we used to determine why the square root of 84697 cannot be simplified.

1) To be able to simplify the square root of 84697, one of the factors of 84697 other than 1 must be a perfect square. The factors of 84697 are 1 and 84697. Since none of these factors are perfect squares, the square root of 84697 cannot be simplified.

2) To be able to simplify the square root of 84697, all the prime factors of 84697 cannot be unique. When we did prime factorization of 84697, we found that 84697 equals 84697. Since all the prime factors are unique, the square root of 84697 cannot be simplified.

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