Simplify Square Root of 34910

What is the square root of 34910 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.

√34910 = A√B

Unfortunately, the square root of 34910 cannot be simplified. Thus, here is the answer to the square root of 34910 in its simplest form:

√ 34910 = √ 34910

Here are two different methods we used to determine why the square root of 34910 cannot be simplified.

1) To be able to simplify the square root of 34910, one of the factors of 34910 other than 1 must be a perfect square. The factors of 34910 are 1, 2, 5, 10, 3491, 6982, 17455, and 34910. Since none of these factors are perfect squares, the square root of 34910 cannot be simplified.

2) To be able to simplify the square root of 34910, all the prime factors of 34910 cannot be unique. When we did prime factorization of 34910, we found that 2 x 5 x 3491 equals 34910. Since all the prime factors are unique, the square root of 34910 cannot be simplified.

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