Simplify Square Root of 32447

What is the square root of 32447 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.

√32447 = A√B

Unfortunately, the square root of 32447 cannot be simplified. Thus, here is the answer to the square root of 32447 in its simplest form:

√ 32447 = √ 32447

Here are two different methods we used to determine why the square root of 32447 cannot be simplified.

1) To be able to simplify the square root of 32447, one of the factors of 32447 other than 1 must be a perfect square. The factors of 32447 are 1, 71, 457, and 32447. Since none of these factors are perfect squares, the square root of 32447 cannot be simplified.

2) To be able to simplify the square root of 32447, all the prime factors of 32447 cannot be unique. When we did prime factorization of 32447, we found that 71 x 457 equals 32447. Since all the prime factors are unique, the square root of 32447 cannot be simplified.

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