Simplify Square Root of 29135

What is the square root of 29135 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.

√29135 = A√B

Unfortunately, the square root of 29135 cannot be simplified. Thus, here is the answer to the square root of 29135 in its simplest form:

√ 29135 = √ 29135

Here are two different methods we used to determine why the square root of 29135 cannot be simplified.

1) To be able to simplify the square root of 29135, one of the factors of 29135 other than 1 must be a perfect square. The factors of 29135 are 1, 5, 5827, and 29135. Since none of these factors are perfect squares, the square root of 29135 cannot be simplified.

2) To be able to simplify the square root of 29135, all the prime factors of 29135 cannot be unique. When we did prime factorization of 29135, we found that 5 x 5827 equals 29135. Since all the prime factors are unique, the square root of 29135 cannot be simplified.

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