Simplify Square Root of 22430

What is the square root of 22430 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.

√22430 = A√B

Unfortunately, the square root of 22430 cannot be simplified. Thus, here is the answer to the square root of 22430 in its simplest form:

√ 22430 = √ 22430

Here are two different methods we used to determine why the square root of 22430 cannot be simplified.

1) To be able to simplify the square root of 22430, one of the factors of 22430 other than 1 must be a perfect square. The factors of 22430 are 1, 2, 5, 10, 2243, 4486, 11215, and 22430. Since none of these factors are perfect squares, the square root of 22430 cannot be simplified.

2) To be able to simplify the square root of 22430, all the prime factors of 22430 cannot be unique. When we did prime factorization of 22430, we found that 2 x 5 x 2243 equals 22430. Since all the prime factors are unique, the square root of 22430 cannot be simplified.

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