Simplify Square Root of 3254

What is the square root of 3254 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.

√3254 = A√B

Unfortunately, the square root of 3254 cannot be simplified. Thus, here is the answer to the square root of 3254 in its simplest form:

√ 3254 = √ 3254

Here are two different methods we used to determine why the square root of 3254 cannot be simplified.

1) To be able to simplify the square root of 3254, one of the factors of 3254 other than 1 must be a perfect square. The factors of 3254 are 1, 2, 1627, and 3254. Since none of these factors are perfect squares, the square root of 3254 cannot be simplified.

2) To be able to simplify the square root of 3254, all the prime factors of 3254 cannot be unique. When we did prime factorization of 3254, we found that 2 x 1627 equals 3254. Since all the prime factors are unique, the square root of 3254 cannot be simplified.

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