Simplify Square Root of 34201

What is the square root of 34201 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.

√34201 = A√B

Unfortunately, the square root of 34201 cannot be simplified. Thus, here is the answer to the square root of 34201 in its simplest form:

√ 34201 = √ 34201

Here are two different methods we used to determine why the square root of 34201 cannot be simplified.

1) To be able to simplify the square root of 34201, one of the factors of 34201 other than 1 must be a perfect square. The factors of 34201 are 1, 23, 1487, and 34201. Since none of these factors are perfect squares, the square root of 34201 cannot be simplified.

2) To be able to simplify the square root of 34201, all the prime factors of 34201 cannot be unique. When we did prime factorization of 34201, we found that 23 x 1487 equals 34201. Since all the prime factors are unique, the square root of 34201 cannot be simplified.

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