Simplify Square Root of 34061

What is the square root of 34061 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.

√34061 = A√B

Unfortunately, the square root of 34061 cannot be simplified. Thus, here is the answer to the square root of 34061 in its simplest form:

√ 34061 = √ 34061

Here are two different methods we used to determine why the square root of 34061 cannot be simplified.

1) To be able to simplify the square root of 34061, one of the factors of 34061 other than 1 must be a perfect square. The factors of 34061 are 1 and 34061. Since none of these factors are perfect squares, the square root of 34061 cannot be simplified.

2) To be able to simplify the square root of 34061, all the prime factors of 34061 cannot be unique. When we did prime factorization of 34061, we found that 34061 equals 34061. Since all the prime factors are unique, the square root of 34061 cannot be simplified.

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