Simplify Square Root of 29714

What is the square root of 29714 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.

√29714 = A√B

Unfortunately, the square root of 29714 cannot be simplified. Thus, here is the answer to the square root of 29714 in its simplest form:

√ 29714 = √ 29714

Here are two different methods we used to determine why the square root of 29714 cannot be simplified.

1) To be able to simplify the square root of 29714, one of the factors of 29714 other than 1 must be a perfect square. The factors of 29714 are 1, 2, 83, 166, 179, 358, 14857, and 29714. Since none of these factors are perfect squares, the square root of 29714 cannot be simplified.

2) To be able to simplify the square root of 29714, all the prime factors of 29714 cannot be unique. When we did prime factorization of 29714, we found that 2 x 83 x 179 equals 29714. Since all the prime factors are unique, the square root of 29714 cannot be simplified.

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