Simplify Square Root of 29731

What is the square root of 29731 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.

√29731 = A√B

Unfortunately, the square root of 29731 cannot be simplified. Thus, here is the answer to the square root of 29731 in its simplest form:

√ 29731 = √ 29731

Here are two different methods we used to determine why the square root of 29731 cannot be simplified.

1) To be able to simplify the square root of 29731, one of the factors of 29731 other than 1 must be a perfect square. The factors of 29731 are 1, 13, 2287, and 29731. Since none of these factors are perfect squares, the square root of 29731 cannot be simplified.

2) To be able to simplify the square root of 29731, all the prime factors of 29731 cannot be unique. When we did prime factorization of 29731, we found that 13 x 2287 equals 29731. Since all the prime factors are unique, the square root of 29731 cannot be simplified.

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