Simplify Square Root of 34033

What is the square root of 34033 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.

√34033 = A√B

Unfortunately, the square root of 34033 cannot be simplified. Thus, here is the answer to the square root of 34033 in its simplest form:

√ 34033 = √ 34033

Here are two different methods we used to determine why the square root of 34033 cannot be simplified.

1) To be able to simplify the square root of 34033, one of the factors of 34033 other than 1 must be a perfect square. The factors of 34033 are 1 and 34033. Since none of these factors are perfect squares, the square root of 34033 cannot be simplified.

2) To be able to simplify the square root of 34033, all the prime factors of 34033 cannot be unique. When we did prime factorization of 34033, we found that 34033 equals 34033. Since all the prime factors are unique, the square root of 34033 cannot be simplified.

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