Simplify Square Root of 22429

What is the square root of 22429 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.

√22429 = A√B

Unfortunately, the square root of 22429 cannot be simplified. Thus, here is the answer to the square root of 22429 in its simplest form:

√ 22429 = √ 22429

Here are two different methods we used to determine why the square root of 22429 cannot be simplified.

1) To be able to simplify the square root of 22429, one of the factors of 22429 other than 1 must be a perfect square. The factors of 22429 are 1, 11, 2039, and 22429. Since none of these factors are perfect squares, the square root of 22429 cannot be simplified.

2) To be able to simplify the square root of 22429, all the prime factors of 22429 cannot be unique. When we did prime factorization of 22429, we found that 11 x 2039 equals 22429. Since all the prime factors are unique, the square root of 22429 cannot be simplified.

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